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Finding the Third Proportional to 84,300 and 125,166

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Solution

The third proportional to 84,300 and 125,166 is: 185,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,300 : 125,166 = 125,166 : x
  2. Step 2: Convert to fraction form
    84,300/125,166 = 125,166/x
  3. Step 3: Cross multiply
    84,300x = 125,166 × 125,166
  4. Step 4: Simplify right side
    84,300x = 15,666,527,556
  5. Step 5: Solve for x
    x = 15,666,527,556/84,300
  6. Step 6: Final answer
    x = 185,842.56

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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.