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Finding the Third Proportional to 61,190 and 82,347

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Solution

The third proportional to 61,190 and 82,347 is: 110,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,190 : 82,347 = 82,347 : x
  2. Step 2: Convert to fraction form
    61,190/82,347 = 82,347/x
  3. Step 3: Cross multiply
    61,190x = 82,347 × 82,347
  4. Step 4: Simplify right side
    61,190x = 6,781,028,409
  5. Step 5: Solve for x
    x = 6,781,028,409/61,190
  6. Step 6: Final answer
    x = 110,819.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.