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Finding the Third Proportional to 98,948 and 148,422

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Solution

The third proportional to 98,948 and 148,422 is: 222,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,948 : 148,422 = 148,422 : x
  2. Step 2: Convert to fraction form
    98,948/148,422 = 148,422/x
  3. Step 3: Cross multiply
    98,948x = 148,422 × 148,422
  4. Step 4: Simplify right side
    98,948x = 22,029,090,084
  5. Step 5: Solve for x
    x = 22,029,090,084/98,948
  6. Step 6: Final answer
    x = 222,633

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.