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Finding the Third Proportional to 71,532 and 103,170

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Solution

The third proportional to 71,532 and 103,170 is: 148,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532 : 103,170 = 103,170 : x
  2. Step 2: Convert to fraction form
    71,532/103,170 = 103,170/x
  3. Step 3: Cross multiply
    71,532x = 103,170 × 103,170
  4. Step 4: Simplify right side
    71,532x = 10,644,048,900
  5. Step 5: Solve for x
    x = 10,644,048,900/71,532
  6. Step 6: Final answer
    x = 148,801.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.