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Finding the Third Proportional to 41,117 and 88,791

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Solution

The third proportional to 41,117 and 88,791 is: 191,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,117 : 88,791 = 88,791 : x
  2. Step 2: Convert to fraction form
    41,117/88,791 = 88,791/x
  3. Step 3: Cross multiply
    41,117x = 88,791 × 88,791
  4. Step 4: Simplify right side
    41,117x = 7,883,841,681
  5. Step 5: Solve for x
    x = 7,883,841,681/41,117
  6. Step 6: Final answer
    x = 191,741.66

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Why These Related Problems?

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