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Finding the Third Proportional to 71,725 and 157,604

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Solution

The third proportional to 71,725 and 157,604 is: 346,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725 : 157,604 = 157,604 : x
  2. Step 2: Convert to fraction form
    71,725/157,604 = 157,604/x
  3. Step 3: Cross multiply
    71,725x = 157,604 × 157,604
  4. Step 4: Simplify right side
    71,725x = 24,839,020,816
  5. Step 5: Solve for x
    x = 24,839,020,816/71,725
  6. Step 6: Final answer
    x = 346,309.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.