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Finding the Third Proportional to 69,486 and 135,514.50

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Solution

The third proportional to 69,486 and 135,514.50 is: 264,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,486 : 135,514.50 = 135,514.50 : x
  2. Step 2: Convert to fraction form
    69,486/135,514.50 = 135,514.50/x
  3. Step 3: Cross multiply
    69,486x = 135,514.50 × 135,514.50
  4. Step 4: Simplify right side
    69,486x = 18,364,179,710.25
  5. Step 5: Solve for x
    x = 18,364,179,710.25/69,486
  6. Step 6: Final answer
    x = 264,286.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.