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Finding the Third Proportional to 61,902 and 134,982

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Solution

The third proportional to 61,902 and 134,982 is: 294,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902 : 134,982 = 134,982 : x
  2. Step 2: Convert to fraction form
    61,902/134,982 = 134,982/x
  3. Step 3: Cross multiply
    61,902x = 134,982 × 134,982
  4. Step 4: Simplify right side
    61,902x = 18,220,140,324
  5. Step 5: Solve for x
    x = 18,220,140,324/61,902
  6. Step 6: Final answer
    x = 294,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.