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Finding the Third Proportional to 83,959 and 141,004

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Solution

The third proportional to 83,959 and 141,004 is: 236,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959 : 141,004 = 141,004 : x
  2. Step 2: Convert to fraction form
    83,959/141,004 = 141,004/x
  3. Step 3: Cross multiply
    83,959x = 141,004 × 141,004
  4. Step 4: Simplify right side
    83,959x = 19,882,128,016
  5. Step 5: Solve for x
    x = 19,882,128,016/83,959
  6. Step 6: Final answer
    x = 236,807.58

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.