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Finding the Third Proportional to 61,876 and 96,510

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Solution

The third proportional to 61,876 and 96,510 is: 150,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,876 : 96,510 = 96,510 : x
  2. Step 2: Convert to fraction form
    61,876/96,510 = 96,510/x
  3. Step 3: Cross multiply
    61,876x = 96,510 × 96,510
  4. Step 4: Simplify right side
    61,876x = 9,314,180,100
  5. Step 5: Solve for x
    x = 9,314,180,100/61,876
  6. Step 6: Final answer
    x = 150,529.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.