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Finding the Third Proportional to 56,972 and 124,686

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Solution

The third proportional to 56,972 and 124,686 is: 272,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,972 : 124,686 = 124,686 : x
  2. Step 2: Convert to fraction form
    56,972/124,686 = 124,686/x
  3. Step 3: Cross multiply
    56,972x = 124,686 × 124,686
  4. Step 4: Simplify right side
    56,972x = 15,546,598,596
  5. Step 5: Solve for x
    x = 15,546,598,596/56,972
  6. Step 6: Final answer
    x = 272,881.39

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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.