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Finding the Third Proportional to 40,154 and 62,455

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Solution

The third proportional to 40,154 and 62,455 is: 97,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154 : 62,455 = 62,455 : x
  2. Step 2: Convert to fraction form
    40,154/62,455 = 62,455/x
  3. Step 3: Cross multiply
    40,154x = 62,455 × 62,455
  4. Step 4: Simplify right side
    40,154x = 3,900,627,025
  5. Step 5: Solve for x
    x = 3,900,627,025/40,154
  6. Step 6: Final answer
    x = 97,141.68

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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.