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Finding the Third Proportional to 120,337.88 and 187,087.50

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Solution

The third proportional to 120,337.88 and 187,087.50 is: 290,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,337.88 : 187,087.50 = 187,087.50 : x
  2. Step 2: Convert to fraction form
    120,337.88/187,087.50 = 187,087.50/x
  3. Step 3: Cross multiply
    120,337.88x = 187,087.50 × 187,087.50
  4. Step 4: Simplify right side
    120,337.88x = 35,001,732,656.25
  5. Step 5: Solve for x
    x = 35,001,732,656.25/120,337.88
  6. Step 6: Final answer
    x = 290,862.15

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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.