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Finding the Third Proportional to 61,124 and 82,470

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Solution

The third proportional to 61,124 and 82,470 is: 111,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,124 : 82,470 = 82,470 : x
  2. Step 2: Convert to fraction form
    61,124/82,470 = 82,470/x
  3. Step 3: Cross multiply
    61,124x = 82,470 × 82,470
  4. Step 4: Simplify right side
    61,124x = 6,801,300,900
  5. Step 5: Solve for x
    x = 6,801,300,900/61,124
  6. Step 6: Final answer
    x = 111,270.55

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