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Finding the Third Proportional to 75,575.53 and 112,968.42

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Solution

The third proportional to 75,575.53 and 112,968.42 is: 168,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575.53 : 112,968.42 = 112,968.42 : x
  2. Step 2: Convert to fraction form
    75,575.53/112,968.42 = 112,968.42/x
  3. Step 3: Cross multiply
    75,575.53x = 112,968.42 × 112,968.42
  4. Step 4: Simplify right side
    75,575.53x = 12,761,864,340.93
  5. Step 5: Solve for x
    x = 12,761,864,340.93/75,575.53
  6. Step 6: Final answer
    x = 168,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.