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Finding the Third Proportional to 38,526 and 83,256

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Solution

The third proportional to 38,526 and 83,256 is: 179,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526 : 83,256 = 83,256 : x
  2. Step 2: Convert to fraction form
    38,526/83,256 = 83,256/x
  3. Step 3: Cross multiply
    38,526x = 83,256 × 83,256
  4. Step 4: Simplify right side
    38,526x = 6,931,561,536
  5. Step 5: Solve for x
    x = 6,931,561,536/38,526
  6. Step 6: Final answer
    x = 179,919.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.