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Finding the Third Proportional to 41,114 and 88,060

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Solution

The third proportional to 41,114 and 88,060 is: 188,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114 : 88,060 = 88,060 : x
  2. Step 2: Convert to fraction form
    41,114/88,060 = 88,060/x
  3. Step 3: Cross multiply
    41,114x = 88,060 × 88,060
  4. Step 4: Simplify right side
    41,114x = 7,754,563,600
  5. Step 5: Solve for x
    x = 7,754,563,600/41,114
  6. Step 6: Final answer
    x = 188,611.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.