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Finding the Third Proportional to 63,168 and 91,259

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Solution

The third proportional to 63,168 and 91,259 is: 131,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,168 : 91,259 = 91,259 : x
  2. Step 2: Convert to fraction form
    63,168/91,259 = 91,259/x
  3. Step 3: Cross multiply
    63,168x = 91,259 × 91,259
  4. Step 4: Simplify right side
    63,168x = 8,328,205,081
  5. Step 5: Solve for x
    x = 8,328,205,081/63,168
  6. Step 6: Final answer
    x = 131,842.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.