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Finding the Third Proportional to 61,200 and 82,370

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Solution

The third proportional to 61,200 and 82,370 is: 110,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200 : 82,370 = 82,370 : x
  2. Step 2: Convert to fraction form
    61,200/82,370 = 82,370/x
  3. Step 3: Cross multiply
    61,200x = 82,370 × 82,370
  4. Step 4: Simplify right side
    61,200x = 6,784,816,900
  5. Step 5: Solve for x
    x = 6,784,816,900/61,200
  6. Step 6: Final answer
    x = 110,863.02

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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.