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Finding the Third Proportional to 40,699 and 87,980

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Solution

The third proportional to 40,699 and 87,980 is: 190,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,699 : 87,980 = 87,980 : x
  2. Step 2: Convert to fraction form
    40,699/87,980 = 87,980/x
  3. Step 3: Cross multiply
    40,699x = 87,980 × 87,980
  4. Step 4: Simplify right side
    40,699x = 7,740,480,400
  5. Step 5: Solve for x
    x = 7,740,480,400/40,699
  6. Step 6: Final answer
    x = 190,188.47

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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.