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Finding the Third Proportional to 109,734.75 and 160,420.50

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Solution

The third proportional to 109,734.75 and 160,420.50 is: 234,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.75 : 160,420.50 = 160,420.50 : x
  2. Step 2: Convert to fraction form
    109,734.75/160,420.50 = 160,420.50/x
  3. Step 3: Cross multiply
    109,734.75x = 160,420.50 × 160,420.50
  4. Step 4: Simplify right side
    109,734.75x = 25,734,736,820.25
  5. Step 5: Solve for x
    x = 25,734,736,820.25/109,734.75
  6. Step 6: Final answer
    x = 234,517.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.