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Finding the Third Proportional to 40,142 and 62,512

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Solution

The third proportional to 40,142 and 62,512 is: 97,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,142 : 62,512 = 62,512 : x
  2. Step 2: Convert to fraction form
    40,142/62,512 = 62,512/x
  3. Step 3: Cross multiply
    40,142x = 62,512 × 62,512
  4. Step 4: Simplify right side
    40,142x = 3,907,750,144
  5. Step 5: Solve for x
    x = 3,907,750,144/40,142
  6. Step 6: Final answer
    x = 97,348.17

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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.