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Finding the Third Proportional to 38,220 and 79,139

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Solution

The third proportional to 38,220 and 79,139 is: 163,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220 : 79,139 = 79,139 : x
  2. Step 2: Convert to fraction form
    38,220/79,139 = 79,139/x
  3. Step 3: Cross multiply
    38,220x = 79,139 × 79,139
  4. Step 4: Simplify right side
    38,220x = 6,262,981,321
  5. Step 5: Solve for x
    x = 6,262,981,321/38,220
  6. Step 6: Final answer
    x = 163,866.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.