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Finding the Third Proportional to 98,830 and 147,974

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Solution

The third proportional to 98,830 and 147,974 is: 221,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,830 : 147,974 = 147,974 : x
  2. Step 2: Convert to fraction form
    98,830/147,974 = 147,974/x
  3. Step 3: Cross multiply
    98,830x = 147,974 × 147,974
  4. Step 4: Simplify right side
    98,830x = 21,896,304,676
  5. Step 5: Solve for x
    x = 21,896,304,676/98,830
  6. Step 6: Final answer
    x = 221,555.24

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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.