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Finding the Third Proportional to 36,508 and 78,842

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Solution

The third proportional to 36,508 and 78,842 is: 170,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508 : 78,842 = 78,842 : x
  2. Step 2: Convert to fraction form
    36,508/78,842 = 78,842/x
  3. Step 3: Cross multiply
    36,508x = 78,842 × 78,842
  4. Step 4: Simplify right side
    36,508x = 6,216,060,964
  5. Step 5: Solve for x
    x = 6,216,060,964/36,508
  6. Step 6: Final answer
    x = 170,265.72

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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.