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Finding the Third Proportional to 41,300 and 87,928

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Solution

The third proportional to 41,300 and 87,928 is: 187,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,300 : 87,928 = 87,928 : x
  2. Step 2: Convert to fraction form
    41,300/87,928 = 87,928/x
  3. Step 3: Cross multiply
    41,300x = 87,928 × 87,928
  4. Step 4: Simplify right side
    41,300x = 7,731,333,184
  5. Step 5: Solve for x
    x = 7,731,333,184/41,300
  6. Step 6: Final answer
    x = 187,199.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.