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Finding the Third Proportional to 125,366 and 273,595

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Solution

The third proportional to 125,366 and 273,595 is: 597,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,366 : 273,595 = 273,595 : x
  2. Step 2: Convert to fraction form
    125,366/273,595 = 273,595/x
  3. Step 3: Cross multiply
    125,366x = 273,595 × 273,595
  4. Step 4: Simplify right side
    125,366x = 74,854,224,025
  5. Step 5: Solve for x
    x = 74,854,224,025/125,366
  6. Step 6: Final answer
    x = 597,085.53

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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.