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Finding the Third Proportional to 61,714 and 92,419

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Solution

The third proportional to 61,714 and 92,419 is: 138,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,714 : 92,419 = 92,419 : x
  2. Step 2: Convert to fraction form
    61,714/92,419 = 92,419/x
  3. Step 3: Cross multiply
    61,714x = 92,419 × 92,419
  4. Step 4: Simplify right side
    61,714x = 8,541,271,561
  5. Step 5: Solve for x
    x = 8,541,271,561/61,714
  6. Step 6: Final answer
    x = 138,400.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.