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Finding the Third Proportional to 71,929 and 108,893.13

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Solution

The third proportional to 71,929 and 108,893.13 is: 164,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929 : 108,893.13 = 108,893.13 : x
  2. Step 2: Convert to fraction form
    71,929/108,893.13 = 108,893.13/x
  3. Step 3: Cross multiply
    71,929x = 108,893.13 × 108,893.13
  4. Step 4: Simplify right side
    71,929x = 11,857,712,672.27
  5. Step 5: Solve for x
    x = 11,857,712,672.27/71,929
  6. Step 6: Final answer
    x = 164,853.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.