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Finding the Third Proportional to 85,282 and 127,932

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Solution

The third proportional to 85,282 and 127,932 is: 191,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282 : 127,932 = 127,932 : x
  2. Step 2: Convert to fraction form
    85,282/127,932 = 127,932/x
  3. Step 3: Cross multiply
    85,282x = 127,932 × 127,932
  4. Step 4: Simplify right side
    85,282x = 16,366,596,624
  5. Step 5: Solve for x
    x = 16,366,596,624/85,282
  6. Step 6: Final answer
    x = 191,911.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.