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Finding the Third Proportional to 120,332.25 and 187,079.63

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Solution

The third proportional to 120,332.25 and 187,079.63 is: 290,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,332.25 : 187,079.63 = 187,079.63 : x
  2. Step 2: Convert to fraction form
    120,332.25/187,079.63 = 187,079.63/x
  3. Step 3: Cross multiply
    120,332.25x = 187,079.63 × 187,079.63
  4. Step 4: Simplify right side
    120,332.25x = 34,998,786,090.14
  5. Step 5: Solve for x
    x = 34,998,786,090.14/120,332.25
  6. Step 6: Final answer
    x = 290,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.