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Finding the Third Proportional to 98,624.25 and 146,414.25

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Solution

The third proportional to 98,624.25 and 146,414.25 is: 217,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,624.25 : 146,414.25 = 146,414.25 : x
  2. Step 2: Convert to fraction form
    98,624.25/146,414.25 = 146,414.25/x
  3. Step 3: Cross multiply
    98,624.25x = 146,414.25 × 146,414.25
  4. Step 4: Simplify right side
    98,624.25x = 21,437,132,603.06
  5. Step 5: Solve for x
    x = 21,437,132,603.06/98,624.25
  6. Step 6: Final answer
    x = 217,361.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.