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Finding the Third Proportional to 113,864 and 170,169

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Solution

The third proportional to 113,864 and 170,169 is: 254,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,864 : 170,169 = 170,169 : x
  2. Step 2: Convert to fraction form
    113,864/170,169 = 170,169/x
  3. Step 3: Cross multiply
    113,864x = 170,169 × 170,169
  4. Step 4: Simplify right side
    113,864x = 28,957,488,561
  5. Step 5: Solve for x
    x = 28,957,488,561/113,864
  6. Step 6: Final answer
    x = 254,316.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.