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Finding the Third Proportional to 83,342.25 and 129,083.63

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Solution

The third proportional to 83,342.25 and 129,083.63 is: 199,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,342.25 : 129,083.63 = 129,083.63 : x
  2. Step 2: Convert to fraction form
    83,342.25/129,083.63 = 129,083.63/x
  3. Step 3: Cross multiply
    83,342.25x = 129,083.63 × 129,083.63
  4. Step 4: Simplify right side
    83,342.25x = 16,662,582,243.14
  5. Step 5: Solve for x
    x = 16,662,582,243.14/83,342.25
  6. Step 6: Final answer
    x = 199,929.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.