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Finding the Third Proportional to 81,111 and 108,498

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Solution

The third proportional to 81,111 and 108,498 is: 145,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,111 : 108,498 = 108,498 : x
  2. Step 2: Convert to fraction form
    81,111/108,498 = 108,498/x
  3. Step 3: Cross multiply
    81,111x = 108,498 × 108,498
  4. Step 4: Simplify right side
    81,111x = 11,771,816,004
  5. Step 5: Solve for x
    x = 11,771,816,004/81,111
  6. Step 6: Final answer
    x = 145,132.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.