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Finding the Third Proportional to 134,766.75 and 159,370.50

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Solution

The third proportional to 134,766.75 and 159,370.50 is: 188,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,766.75 : 159,370.50 = 159,370.50 : x
  2. Step 2: Convert to fraction form
    134,766.75/159,370.50 = 159,370.50/x
  3. Step 3: Cross multiply
    134,766.75x = 159,370.50 × 159,370.50
  4. Step 4: Simplify right side
    134,766.75x = 25,398,956,270.25
  5. Step 5: Solve for x
    x = 25,398,956,270.25/134,766.75
  6. Step 6: Final answer
    x = 188,466.04

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.