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Finding the Third Proportional to 125,737.31 and 273,587.63

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Solution

The third proportional to 125,737.31 and 273,587.63 is: 595,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,737.31 : 273,587.63 = 273,587.63 : x
  2. Step 2: Convert to fraction form
    125,737.31/273,587.63 = 273,587.63/x
  3. Step 3: Cross multiply
    125,737.31x = 273,587.63 × 273,587.63
  4. Step 4: Simplify right side
    125,737.31x = 74,850,188,553.14
  5. Step 5: Solve for x
    x = 74,850,188,553.14/125,737.31
  6. Step 6: Final answer
    x = 595,290.19

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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.