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Finding the Third Proportional to 39,618 and 87,012

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Solution

The third proportional to 39,618 and 87,012 is: 191,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 87,012 = 87,012 : x
  2. Step 2: Convert to fraction form
    39,618/87,012 = 87,012/x
  3. Step 3: Cross multiply
    39,618x = 87,012 × 87,012
  4. Step 4: Simplify right side
    39,618x = 7,571,088,144
  5. Step 5: Solve for x
    x = 7,571,088,144/39,618
  6. Step 6: Final answer
    x = 191,102.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.