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Finding the Third Proportional to 69,228 and 107,514

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Solution

The third proportional to 69,228 and 107,514 is: 166,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228 : 107,514 = 107,514 : x
  2. Step 2: Convert to fraction form
    69,228/107,514 = 107,514/x
  3. Step 3: Cross multiply
    69,228x = 107,514 × 107,514
  4. Step 4: Simplify right side
    69,228x = 11,559,260,196
  5. Step 5: Solve for x
    x = 11,559,260,196/69,228
  6. Step 6: Final answer
    x = 166,973.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.