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Finding the Third Proportional to 129,397.50 and 173,896.88

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Solution

The third proportional to 129,397.50 and 173,896.88 is: 233,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,397.50 : 173,896.88 = 173,896.88 : x
  2. Step 2: Convert to fraction form
    129,397.50/173,896.88 = 173,896.88/x
  3. Step 3: Cross multiply
    129,397.50x = 173,896.88 × 173,896.88
  4. Step 4: Simplify right side
    129,397.50x = 30,240,123,134.77
  5. Step 5: Solve for x
    x = 30,240,123,134.77/129,397.50
  6. Step 6: Final answer
    x = 233,699.44

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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.