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Finding the Third Proportional to 82,225.13 and 129,443.06

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Solution

The third proportional to 82,225.13 and 129,443.06 is: 203,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.13 : 129,443.06 = 129,443.06 : x
  2. Step 2: Convert to fraction form
    82,225.13/129,443.06 = 129,443.06/x
  3. Step 3: Cross multiply
    82,225.13x = 129,443.06 × 129,443.06
  4. Step 4: Simplify right side
    82,225.13x = 16,755,506,429.38
  5. Step 5: Solve for x
    x = 16,755,506,429.38/82,225.13
  6. Step 6: Final answer
    x = 203,775.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.