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Finding the Third Proportional to 41,140 and 88,820

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Solution

The third proportional to 41,140 and 88,820 is: 191,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,140 : 88,820 = 88,820 : x
  2. Step 2: Convert to fraction form
    41,140/88,820 = 88,820/x
  3. Step 3: Cross multiply
    41,140x = 88,820 × 88,820
  4. Step 4: Simplify right side
    41,140x = 7,888,992,400
  5. Step 5: Solve for x
    x = 7,888,992,400/41,140
  6. Step 6: Final answer
    x = 191,759.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.