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Finding the Third Proportional to 41,710 and 89,987

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Solution

The third proportional to 41,710 and 89,987 is: 194,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710 : 89,987 = 89,987 : x
  2. Step 2: Convert to fraction form
    41,710/89,987 = 89,987/x
  3. Step 3: Cross multiply
    41,710x = 89,987 × 89,987
  4. Step 4: Simplify right side
    41,710x = 8,097,660,169
  5. Step 5: Solve for x
    x = 8,097,660,169/41,710
  6. Step 6: Final answer
    x = 194,141.94

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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.