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Finding the Third Proportional to 125,639.50 and 273,871

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Solution

The third proportional to 125,639.50 and 273,871 is: 596,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,639.50 : 273,871 = 273,871 : x
  2. Step 2: Convert to fraction form
    125,639.50/273,871 = 273,871/x
  3. Step 3: Cross multiply
    125,639.50x = 273,871 × 273,871
  4. Step 4: Simplify right side
    125,639.50x = 75,005,324,641
  5. Step 5: Solve for x
    x = 75,005,324,641/125,639.50
  6. Step 6: Final answer
    x = 596,988.40

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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.