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Finding the Third Proportional to 83,959 and 127,943

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Solution

The third proportional to 83,959 and 127,943 is: 194,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959 : 127,943 = 127,943 : x
  2. Step 2: Convert to fraction form
    83,959/127,943 = 127,943/x
  3. Step 3: Cross multiply
    83,959x = 127,943 × 127,943
  4. Step 4: Simplify right side
    83,959x = 16,369,411,249
  5. Step 5: Solve for x
    x = 16,369,411,249/83,959
  6. Step 6: Final answer
    x = 194,969.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.