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Finding the Third Proportional to 56,717 and 124,287

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Solution

The third proportional to 56,717 and 124,287 is: 272,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,717 : 124,287 = 124,287 : x
  2. Step 2: Convert to fraction form
    56,717/124,287 = 124,287/x
  3. Step 3: Cross multiply
    56,717x = 124,287 × 124,287
  4. Step 4: Simplify right side
    56,717x = 15,447,258,369
  5. Step 5: Solve for x
    x = 15,447,258,369/56,717
  6. Step 6: Final answer
    x = 272,356.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.