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Finding the Third Proportional to 36,061 and 78,683

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Solution

The third proportional to 36,061 and 78,683 is: 171,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,061 : 78,683 = 78,683 : x
  2. Step 2: Convert to fraction form
    36,061/78,683 = 78,683/x
  3. Step 3: Cross multiply
    36,061x = 78,683 × 78,683
  4. Step 4: Simplify right side
    36,061x = 6,191,014,489
  5. Step 5: Solve for x
    x = 6,191,014,489/36,061
  6. Step 6: Final answer
    x = 171,681.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.