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Finding the Third Proportional to 81,088 and 129,536

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Solution

The third proportional to 81,088 and 129,536 is: 206,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,088 : 129,536 = 129,536 : x
  2. Step 2: Convert to fraction form
    81,088/129,536 = 129,536/x
  3. Step 3: Cross multiply
    81,088x = 129,536 × 129,536
  4. Step 4: Simplify right side
    81,088x = 16,779,575,296
  5. Step 5: Solve for x
    x = 16,779,575,296/81,088
  6. Step 6: Final answer
    x = 206,930.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.