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Finding the Third Proportional to 125,350 and 273,565

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Solution

The third proportional to 125,350 and 273,565 is: 597,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,350 : 273,565 = 273,565 : x
  2. Step 2: Convert to fraction form
    125,350/273,565 = 273,565/x
  3. Step 3: Cross multiply
    125,350x = 273,565 × 273,565
  4. Step 4: Simplify right side
    125,350x = 74,837,809,225
  5. Step 5: Solve for x
    x = 74,837,809,225/125,350
  6. Step 6: Final answer
    x = 597,030.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.