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Finding the Third Proportional to 75,718 and 156,292

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Solution

The third proportional to 75,718 and 156,292 is: 322,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718 : 156,292 = 156,292 : x
  2. Step 2: Convert to fraction form
    75,718/156,292 = 156,292/x
  3. Step 3: Cross multiply
    75,718x = 156,292 × 156,292
  4. Step 4: Simplify right side
    75,718x = 24,427,189,264
  5. Step 5: Solve for x
    x = 24,427,189,264/75,718
  6. Step 6: Final answer
    x = 322,607.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.