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Finding the Third Proportional to 124,624 and 270,281

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Solution

The third proportional to 124,624 and 270,281 is: 586,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,624 : 270,281 = 270,281 : x
  2. Step 2: Convert to fraction form
    124,624/270,281 = 270,281/x
  3. Step 3: Cross multiply
    124,624x = 270,281 × 270,281
  4. Step 4: Simplify right side
    124,624x = 73,051,818,961
  5. Step 5: Solve for x
    x = 73,051,818,961/124,624
  6. Step 6: Final answer
    x = 586,177.77

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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.