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Finding the Third Proportional to 40,202 and 61,239

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Solution

The third proportional to 40,202 and 61,239 is: 93,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,202 : 61,239 = 61,239 : x
  2. Step 2: Convert to fraction form
    40,202/61,239 = 61,239/x
  3. Step 3: Cross multiply
    40,202x = 61,239 × 61,239
  4. Step 4: Simplify right side
    40,202x = 3,750,215,121
  5. Step 5: Solve for x
    x = 3,750,215,121/40,202
  6. Step 6: Final answer
    x = 93,284.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.