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Finding the Third Proportional to 96,747 and 146,580

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Solution

The third proportional to 96,747 and 146,580 is: 222,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,747 : 146,580 = 146,580 : x
  2. Step 2: Convert to fraction form
    96,747/146,580 = 146,580/x
  3. Step 3: Cross multiply
    96,747x = 146,580 × 146,580
  4. Step 4: Simplify right side
    96,747x = 21,485,696,400
  5. Step 5: Solve for x
    x = 21,485,696,400/96,747
  6. Step 6: Final answer
    x = 222,081.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.