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Finding the Third Proportional to 39,967 and 87,548

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Solution

The third proportional to 39,967 and 87,548 is: 191,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967 : 87,548 = 87,548 : x
  2. Step 2: Convert to fraction form
    39,967/87,548 = 87,548/x
  3. Step 3: Cross multiply
    39,967x = 87,548 × 87,548
  4. Step 4: Simplify right side
    39,967x = 7,664,652,304
  5. Step 5: Solve for x
    x = 7,664,652,304/39,967
  6. Step 6: Final answer
    x = 191,774.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.