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Finding the Third Proportional to 71,357.63 and 111,121.88

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Solution

The third proportional to 71,357.63 and 111,121.88 is: 173,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,357.63 : 111,121.88 = 111,121.88 : x
  2. Step 2: Convert to fraction form
    71,357.63/111,121.88 = 111,121.88/x
  3. Step 3: Cross multiply
    71,357.63x = 111,121.88 × 111,121.88
  4. Step 4: Simplify right side
    71,357.63x = 12,348,071,103.52
  5. Step 5: Solve for x
    x = 12,348,071,103.52/71,357.63
  6. Step 6: Final answer
    x = 173,044.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.