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Finding the Third Proportional to 69,212.25 and 90,882

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Solution

The third proportional to 69,212.25 and 90,882 is: 119,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212.25 : 90,882 = 90,882 : x
  2. Step 2: Convert to fraction form
    69,212.25/90,882 = 90,882/x
  3. Step 3: Cross multiply
    69,212.25x = 90,882 × 90,882
  4. Step 4: Simplify right side
    69,212.25x = 8,259,537,924
  5. Step 5: Solve for x
    x = 8,259,537,924/69,212.25
  6. Step 6: Final answer
    x = 119,336.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.