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Finding the Third Proportional to 71,354.75 and 111,117.38

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Solution

The third proportional to 71,354.75 and 111,117.38 is: 173,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.75 : 111,117.38 = 111,117.38 : x
  2. Step 2: Convert to fraction form
    71,354.75/111,117.38 = 111,117.38/x
  3. Step 3: Cross multiply
    71,354.75x = 111,117.38 × 111,117.38
  4. Step 4: Simplify right side
    71,354.75x = 12,347,071,026.89
  5. Step 5: Solve for x
    x = 12,347,071,026.89/71,354.75
  6. Step 6: Final answer
    x = 173,037.83

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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.