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Finding the Third Proportional to 98,522 and 146,991

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Solution

The third proportional to 98,522 and 146,991 is: 219,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522 : 146,991 = 146,991 : x
  2. Step 2: Convert to fraction form
    98,522/146,991 = 146,991/x
  3. Step 3: Cross multiply
    98,522x = 146,991 × 146,991
  4. Step 4: Simplify right side
    98,522x = 21,606,354,081
  5. Step 5: Solve for x
    x = 21,606,354,081/98,522
  6. Step 6: Final answer
    x = 219,304.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.