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Finding the Third Proportional to 81,687 and 177,907.13

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Solution

The third proportional to 81,687 and 177,907.13 is: 387,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,687 : 177,907.13 = 177,907.13 : x
  2. Step 2: Convert to fraction form
    81,687/177,907.13 = 177,907.13/x
  3. Step 3: Cross multiply
    81,687x = 177,907.13 × 177,907.13
  4. Step 4: Simplify right side
    81,687x = 31,650,945,125.77
  5. Step 5: Solve for x
    x = 31,650,945,125.77/81,687
  6. Step 6: Final answer
    x = 387,466.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.