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Finding the Third Proportional to 56,908 and 124,531

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Solution

The third proportional to 56,908 and 124,531 is: 272,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,908 : 124,531 = 124,531 : x
  2. Step 2: Convert to fraction form
    56,908/124,531 = 124,531/x
  3. Step 3: Cross multiply
    56,908x = 124,531 × 124,531
  4. Step 4: Simplify right side
    56,908x = 15,507,969,961
  5. Step 5: Solve for x
    x = 15,507,969,961/56,908
  6. Step 6: Final answer
    x = 272,509.49

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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.