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Finding the Third Proportional to 84,320 and 125,192

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Solution

The third proportional to 84,320 and 125,192 is: 185,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,320 : 125,192 = 125,192 : x
  2. Step 2: Convert to fraction form
    84,320/125,192 = 125,192/x
  3. Step 3: Cross multiply
    84,320x = 125,192 × 125,192
  4. Step 4: Simplify right side
    84,320x = 15,673,036,864
  5. Step 5: Solve for x
    x = 15,673,036,864/84,320
  6. Step 6: Final answer
    x = 185,875.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.