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Finding the Third Proportional to 63,122 and 94,846

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Solution

The third proportional to 63,122 and 94,846 is: 142,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,122 : 94,846 = 94,846 : x
  2. Step 2: Convert to fraction form
    63,122/94,846 = 94,846/x
  3. Step 3: Cross multiply
    63,122x = 94,846 × 94,846
  4. Step 4: Simplify right side
    63,122x = 8,995,763,716
  5. Step 5: Solve for x
    x = 8,995,763,716/63,122
  6. Step 6: Final answer
    x = 142,513.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.