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Finding the Third Proportional to 98,753 and 149,001

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Solution

The third proportional to 98,753 and 149,001 is: 224,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,753 : 149,001 = 149,001 : x
  2. Step 2: Convert to fraction form
    98,753/149,001 = 149,001/x
  3. Step 3: Cross multiply
    98,753x = 149,001 × 149,001
  4. Step 4: Simplify right side
    98,753x = 22,201,298,001
  5. Step 5: Solve for x
    x = 22,201,298,001/98,753
  6. Step 6: Final answer
    x = 224,816.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.