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Finding the Third Proportional to 56,854 and 124,060

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Solution

The third proportional to 56,854 and 124,060 is: 270,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,854 : 124,060 = 124,060 : x
  2. Step 2: Convert to fraction form
    56,854/124,060 = 124,060/x
  3. Step 3: Cross multiply
    56,854x = 124,060 × 124,060
  4. Step 4: Simplify right side
    56,854x = 15,390,883,600
  5. Step 5: Solve for x
    x = 15,390,883,600/56,854
  6. Step 6: Final answer
    x = 270,708.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.