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Finding the Third Proportional to 75,701.25 and 112,087.13

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Solution

The third proportional to 75,701.25 and 112,087.13 is: 165,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701.25 : 112,087.13 = 112,087.13 : x
  2. Step 2: Convert to fraction form
    75,701.25/112,087.13 = 112,087.13/x
  3. Step 3: Cross multiply
    75,701.25x = 112,087.13 × 112,087.13
  4. Step 4: Simplify right side
    75,701.25x = 12,563,523,590.77
  5. Step 5: Solve for x
    x = 12,563,523,590.77/75,701.25
  6. Step 6: Final answer
    x = 165,961.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.