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Finding the Third Proportional to 75,705 and 163,951.50

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Solution

The third proportional to 75,705 and 163,951.50 is: 355,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705 : 163,951.50 = 163,951.50 : x
  2. Step 2: Convert to fraction form
    75,705/163,951.50 = 163,951.50/x
  3. Step 3: Cross multiply
    75,705x = 163,951.50 × 163,951.50
  4. Step 4: Simplify right side
    75,705x = 26,880,094,352.25
  5. Step 5: Solve for x
    x = 26,880,094,352.25/75,705
  6. Step 6: Final answer
    x = 355,063.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.