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Finding the Third Proportional to 97,469 and 146,924

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Solution

The third proportional to 97,469 and 146,924 is: 221,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,469 : 146,924 = 146,924 : x
  2. Step 2: Convert to fraction form
    97,469/146,924 = 146,924/x
  3. Step 3: Cross multiply
    97,469x = 146,924 × 146,924
  4. Step 4: Simplify right side
    97,469x = 21,586,661,776
  5. Step 5: Solve for x
    x = 21,586,661,776/97,469
  6. Step 6: Final answer
    x = 221,472.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.