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Finding the Third Proportional to 71,280 and 111,042

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Solution

The third proportional to 71,280 and 111,042 is: 172,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 111,042 = 111,042 : x
  2. Step 2: Convert to fraction form
    71,280/111,042 = 111,042/x
  3. Step 3: Cross multiply
    71,280x = 111,042 × 111,042
  4. Step 4: Simplify right side
    71,280x = 12,330,325,764
  5. Step 5: Solve for x
    x = 12,330,325,764/71,280
  6. Step 6: Final answer
    x = 172,984.37

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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.