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Finding the Third Proportional to 72,584 and 156,292

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Solution

The third proportional to 72,584 and 156,292 is: 336,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584 : 156,292 = 156,292 : x
  2. Step 2: Convert to fraction form
    72,584/156,292 = 156,292/x
  3. Step 3: Cross multiply
    72,584x = 156,292 × 156,292
  4. Step 4: Simplify right side
    72,584x = 24,427,189,264
  5. Step 5: Solve for x
    x = 24,427,189,264/72,584
  6. Step 6: Final answer
    x = 336,536.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.