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Finding the Third Proportional to 129,750.75 and 279,508.50

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Solution

The third proportional to 129,750.75 and 279,508.50 is: 602,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,750.75 : 279,508.50 = 279,508.50 : x
  2. Step 2: Convert to fraction form
    129,750.75/279,508.50 = 279,508.50/x
  3. Step 3: Cross multiply
    129,750.75x = 279,508.50 × 279,508.50
  4. Step 4: Simplify right side
    129,750.75x = 78,125,001,572.25
  5. Step 5: Solve for x
    x = 78,125,001,572.25/129,750.75
  6. Step 6: Final answer
    x = 602,115.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.