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Finding the Third Proportional to 56,682 and 124,272

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Solution

The third proportional to 56,682 and 124,272 is: 272,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,682 : 124,272 = 124,272 : x
  2. Step 2: Convert to fraction form
    56,682/124,272 = 124,272/x
  3. Step 3: Cross multiply
    56,682x = 124,272 × 124,272
  4. Step 4: Simplify right side
    56,682x = 15,443,529,984
  5. Step 5: Solve for x
    x = 15,443,529,984/56,682
  6. Step 6: Final answer
    x = 272,459.16

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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.