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Finding the Third Proportional to 100,971 and 146,757

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Solution

The third proportional to 100,971 and 146,757 is: 213,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 146,757 = 146,757 : x
  2. Step 2: Convert to fraction form
    100,971/146,757 = 146,757/x
  3. Step 3: Cross multiply
    100,971x = 146,757 × 146,757
  4. Step 4: Simplify right side
    100,971x = 21,537,617,049
  5. Step 5: Solve for x
    x = 21,537,617,049/100,971
  6. Step 6: Final answer
    x = 213,304.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.