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Finding the Third Proportional to 72,337 and 156,566

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Solution

The third proportional to 72,337 and 156,566 is: 338,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337 : 156,566 = 156,566 : x
  2. Step 2: Convert to fraction form
    72,337/156,566 = 156,566/x
  3. Step 3: Cross multiply
    72,337x = 156,566 × 156,566
  4. Step 4: Simplify right side
    72,337x = 24,512,912,356
  5. Step 5: Solve for x
    x = 24,512,912,356/72,337
  6. Step 6: Final answer
    x = 338,871.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.