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Finding the Third Proportional to 125,614.78 and 273,815.06

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Solution

The third proportional to 125,614.78 and 273,815.06 is: 596,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,614.78 : 273,815.06 = 273,815.06 : x
  2. Step 2: Convert to fraction form
    125,614.78/273,815.06 = 273,815.06/x
  3. Step 3: Cross multiply
    125,614.78x = 273,815.06 × 273,815.06
  4. Step 4: Simplify right side
    125,614.78x = 74,974,688,451.88
  5. Step 5: Solve for x
    x = 74,974,688,451.88/125,614.78
  6. Step 6: Final answer
    x = 596,861.99

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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.