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Finding the Third Proportional to 61,002 and 88,100

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Solution

The third proportional to 61,002 and 88,100 is: 127,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 88,100 = 88,100 : x
  2. Step 2: Convert to fraction form
    61,002/88,100 = 88,100/x
  3. Step 3: Cross multiply
    61,002x = 88,100 × 88,100
  4. Step 4: Simplify right side
    61,002x = 7,761,610,000
  5. Step 5: Solve for x
    x = 7,761,610,000/61,002
  6. Step 6: Final answer
    x = 127,235.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.