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Finding the Third Proportional to 36,074 and 78,466

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Solution

The third proportional to 36,074 and 78,466 is: 170,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074 : 78,466 = 78,466 : x
  2. Step 2: Convert to fraction form
    36,074/78,466 = 78,466/x
  3. Step 3: Cross multiply
    36,074x = 78,466 × 78,466
  4. Step 4: Simplify right side
    36,074x = 6,156,913,156
  5. Step 5: Solve for x
    x = 6,156,913,156/36,074
  6. Step 6: Final answer
    x = 170,674.53

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Why These Related Problems?

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