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Finding the Third Proportional to 59,384.31 and 129,225.22

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Solution

The third proportional to 59,384.31 and 129,225.22 is: 281,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,384.31 : 129,225.22 = 129,225.22 : x
  2. Step 2: Convert to fraction form
    59,384.31/129,225.22 = 129,225.22/x
  3. Step 3: Cross multiply
    59,384.31x = 129,225.22 × 129,225.22
  4. Step 4: Simplify right side
    59,384.31x = 16,699,156,656.20
  5. Step 5: Solve for x
    x = 16,699,156,656.20/59,384.31
  6. Step 6: Final answer
    x = 281,204.85

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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.