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Finding the Third Proportional to 81,766.13 and 176,428.13

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Solution

The third proportional to 81,766.13 and 176,428.13 is: 380,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766.13 : 176,428.13 = 176,428.13 : x
  2. Step 2: Convert to fraction form
    81,766.13/176,428.13 = 176,428.13/x
  3. Step 3: Cross multiply
    81,766.13x = 176,428.13 × 176,428.13
  4. Step 4: Simplify right side
    81,766.13x = 31,126,883,291.02
  5. Step 5: Solve for x
    x = 31,126,883,291.02/81,766.13
  6. Step 6: Final answer
    x = 380,681.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.