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Finding the Third Proportional to 106,320 and 153,192

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Solution

The third proportional to 106,320 and 153,192 is: 220,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,320 : 153,192 = 153,192 : x
  2. Step 2: Convert to fraction form
    106,320/153,192 = 153,192/x
  3. Step 3: Cross multiply
    106,320x = 153,192 × 153,192
  4. Step 4: Simplify right side
    106,320x = 23,467,788,864
  5. Step 5: Solve for x
    x = 23,467,788,864/106,320
  6. Step 6: Final answer
    x = 220,727.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.