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Finding the Third Proportional to 71,357.75 and 111,122.38

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Solution

The third proportional to 71,357.75 and 111,122.38 is: 173,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,357.75 : 111,122.38 = 111,122.38 : x
  2. Step 2: Convert to fraction form
    71,357.75/111,122.38 = 111,122.38/x
  3. Step 3: Cross multiply
    71,357.75x = 111,122.38 × 111,122.38
  4. Step 4: Simplify right side
    71,357.75x = 12,348,182,225.64
  5. Step 5: Solve for x
    x = 12,348,182,225.64/71,357.75
  6. Step 6: Final answer
    x = 173,046.13

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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.