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Finding the Third Proportional to 125,866 and 273,644

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Solution

The third proportional to 125,866 and 273,644 is: 594,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,866 : 273,644 = 273,644 : x
  2. Step 2: Convert to fraction form
    125,866/273,644 = 273,644/x
  3. Step 3: Cross multiply
    125,866x = 273,644 × 273,644
  4. Step 4: Simplify right side
    125,866x = 74,881,038,736
  5. Step 5: Solve for x
    x = 74,881,038,736/125,866
  6. Step 6: Final answer
    x = 594,926.66

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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.