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Finding the Third Proportional to 61,400 and 82,501

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Solution

The third proportional to 61,400 and 82,501 is: 110,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,400 : 82,501 = 82,501 : x
  2. Step 2: Convert to fraction form
    61,400/82,501 = 82,501/x
  3. Step 3: Cross multiply
    61,400x = 82,501 × 82,501
  4. Step 4: Simplify right side
    61,400x = 6,806,415,001
  5. Step 5: Solve for x
    x = 6,806,415,001/61,400
  6. Step 6: Final answer
    x = 110,853.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.