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Finding the Third Proportional to 61,184 and 82,560

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Solution

The third proportional to 61,184 and 82,560 is: 111,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184 : 82,560 = 82,560 : x
  2. Step 2: Convert to fraction form
    61,184/82,560 = 82,560/x
  3. Step 3: Cross multiply
    61,184x = 82,560 × 82,560
  4. Step 4: Simplify right side
    61,184x = 6,816,153,600
  5. Step 5: Solve for x
    x = 6,816,153,600/61,184
  6. Step 6: Final answer
    x = 111,404.18

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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.