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Finding the Third Proportional to 71,586 and 157,332

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Solution

The third proportional to 71,586 and 157,332 is: 345,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,586 : 157,332 = 157,332 : x
  2. Step 2: Convert to fraction form
    71,586/157,332 = 157,332/x
  3. Step 3: Cross multiply
    71,586x = 157,332 × 157,332
  4. Step 4: Simplify right side
    71,586x = 24,753,358,224
  5. Step 5: Solve for x
    x = 24,753,358,224/71,586
  6. Step 6: Final answer
    x = 345,784.91

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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.