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Finding the Third Proportional to 41,984 and 88,707

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Solution

The third proportional to 41,984 and 88,707 is: 187,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,984 : 88,707 = 88,707 : x
  2. Step 2: Convert to fraction form
    41,984/88,707 = 88,707/x
  3. Step 3: Cross multiply
    41,984x = 88,707 × 88,707
  4. Step 4: Simplify right side
    41,984x = 7,868,931,849
  5. Step 5: Solve for x
    x = 7,868,931,849/41,984
  6. Step 6: Final answer
    x = 187,426.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.