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Finding the Third Proportional to 125,776 and 273,376

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Solution

The third proportional to 125,776 and 273,376 is: 594,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,776 : 273,376 = 273,376 : x
  2. Step 2: Convert to fraction form
    125,776/273,376 = 273,376/x
  3. Step 3: Cross multiply
    125,776x = 273,376 × 273,376
  4. Step 4: Simplify right side
    125,776x = 74,734,437,376
  5. Step 5: Solve for x
    x = 74,734,437,376/125,776
  6. Step 6: Final answer
    x = 594,186.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.