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Finding the Third Proportional to 40,166 and 62,473

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Solution

The third proportional to 40,166 and 62,473 is: 97,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,166 : 62,473 = 62,473 : x
  2. Step 2: Convert to fraction form
    40,166/62,473 = 62,473/x
  3. Step 3: Cross multiply
    40,166x = 62,473 × 62,473
  4. Step 4: Simplify right side
    40,166x = 3,902,875,729
  5. Step 5: Solve for x
    x = 3,902,875,729/40,166
  6. Step 6: Final answer
    x = 97,168.64

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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.