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Finding the Third Proportional to 71,434.13 and 156,970.13

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Solution

The third proportional to 71,434.13 and 156,970.13 is: 344,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,434.13 : 156,970.13 = 156,970.13 : x
  2. Step 2: Convert to fraction form
    71,434.13/156,970.13 = 156,970.13/x
  3. Step 3: Cross multiply
    71,434.13x = 156,970.13 × 156,970.13
  4. Step 4: Simplify right side
    71,434.13x = 24,639,620,142.52
  5. Step 5: Solve for x
    x = 24,639,620,142.52/71,434.13
  6. Step 6: Final answer
    x = 344,927.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.