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Finding the Third Proportional to 42,743 and 98,943

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Solution

The third proportional to 42,743 and 98,943 is: 229,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,743 : 98,943 = 98,943 : x
  2. Step 2: Convert to fraction form
    42,743/98,943 = 98,943/x
  3. Step 3: Cross multiply
    42,743x = 98,943 × 98,943
  4. Step 4: Simplify right side
    42,743x = 9,789,717,249
  5. Step 5: Solve for x
    x = 9,789,717,249/42,743
  6. Step 6: Final answer
    x = 229,036.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.