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Finding the Third Proportional to 63,198 and 94,959

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Solution

The third proportional to 63,198 and 94,959 is: 142,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,198 : 94,959 = 94,959 : x
  2. Step 2: Convert to fraction form
    63,198/94,959 = 94,959/x
  3. Step 3: Cross multiply
    63,198x = 94,959 × 94,959
  4. Step 4: Simplify right side
    63,198x = 9,017,211,681
  5. Step 5: Solve for x
    x = 9,017,211,681/63,198
  6. Step 6: Final answer
    x = 142,681.92

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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.