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Finding the Third Proportional to 63,074 and 94,061

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Solution

The third proportional to 63,074 and 94,061 is: 140,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,074 : 94,061 = 94,061 : x
  2. Step 2: Convert to fraction form
    63,074/94,061 = 94,061/x
  3. Step 3: Cross multiply
    63,074x = 94,061 × 94,061
  4. Step 4: Simplify right side
    63,074x = 8,847,471,721
  5. Step 5: Solve for x
    x = 8,847,471,721/63,074
  6. Step 6: Final answer
    x = 140,271.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.