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Finding the Third Proportional to 107,324 and 170,192

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Solution

The third proportional to 107,324 and 170,192 is: 269,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,324 : 170,192 = 170,192 : x
  2. Step 2: Convert to fraction form
    107,324/170,192 = 170,192/x
  3. Step 3: Cross multiply
    107,324x = 170,192 × 170,192
  4. Step 4: Simplify right side
    107,324x = 28,965,316,864
  5. Step 5: Solve for x
    x = 28,965,316,864/107,324
  6. Step 6: Final answer
    x = 269,886.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.