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Finding the Third Proportional to 56,582 and 124,463

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Solution

The third proportional to 56,582 and 124,463 is: 273,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,582 : 124,463 = 124,463 : x
  2. Step 2: Convert to fraction form
    56,582/124,463 = 124,463/x
  3. Step 3: Cross multiply
    56,582x = 124,463 × 124,463
  4. Step 4: Simplify right side
    56,582x = 15,491,038,369
  5. Step 5: Solve for x
    x = 15,491,038,369/56,582
  6. Step 6: Final answer
    x = 273,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.