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Finding the Third Proportional to 125,871 and 273,654

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Solution

The third proportional to 125,871 and 273,654 is: 594,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,871 : 273,654 = 273,654 : x
  2. Step 2: Convert to fraction form
    125,871/273,654 = 273,654/x
  3. Step 3: Cross multiply
    125,871x = 273,654 × 273,654
  4. Step 4: Simplify right side
    125,871x = 74,886,511,716
  5. Step 5: Solve for x
    x = 74,886,511,716/125,871
  6. Step 6: Final answer
    x = 594,946.51

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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.