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Finding the Third Proportional to 120,332.25 and 187,153.88

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Solution

The third proportional to 120,332.25 and 187,153.88 is: 291,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,332.25 : 187,153.88 = 187,153.88 : x
  2. Step 2: Convert to fraction form
    120,332.25/187,153.88 = 187,153.88/x
  3. Step 3: Cross multiply
    120,332.25x = 187,153.88 × 187,153.88
  4. Step 4: Simplify right side
    120,332.25x = 35,026,572,927.52
  5. Step 5: Solve for x
    x = 35,026,572,927.52/120,332.25
  6. Step 6: Final answer
    x = 291,082.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.