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Finding the Third Proportional to 73,566 and 157,500

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Solution

The third proportional to 73,566 and 157,500 is: 337,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,566 : 157,500 = 157,500 : x
  2. Step 2: Convert to fraction form
    73,566/157,500 = 157,500/x
  3. Step 3: Cross multiply
    73,566x = 157,500 × 157,500
  4. Step 4: Simplify right side
    73,566x = 24,806,250,000
  5. Step 5: Solve for x
    x = 24,806,250,000/73,566
  6. Step 6: Final answer
    x = 337,197.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.