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Finding the Third Proportional to 98,748 and 148,993

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Solution

The third proportional to 98,748 and 148,993 is: 224,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 148,993 = 148,993 : x
  2. Step 2: Convert to fraction form
    98,748/148,993 = 148,993/x
  3. Step 3: Cross multiply
    98,748x = 148,993 × 148,993
  4. Step 4: Simplify right side
    98,748x = 22,198,914,049
  5. Step 5: Solve for x
    x = 22,198,914,049/98,748
  6. Step 6: Final answer
    x = 224,803.68

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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.