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Finding the Third Proportional to 42,718 and 98,893

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Solution

The third proportional to 42,718 and 98,893 is: 228,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,718 : 98,893 = 98,893 : x
  2. Step 2: Convert to fraction form
    42,718/98,893 = 98,893/x
  3. Step 3: Cross multiply
    42,718x = 98,893 × 98,893
  4. Step 4: Simplify right side
    42,718x = 9,779,825,449
  5. Step 5: Solve for x
    x = 9,779,825,449/42,718
  6. Step 6: Final answer
    x = 228,939.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.