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Finding the Third Proportional to 101,344 and 155,904

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Solution

The third proportional to 101,344 and 155,904 is: 239,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,344 : 155,904 = 155,904 : x
  2. Step 2: Convert to fraction form
    101,344/155,904 = 155,904/x
  3. Step 3: Cross multiply
    101,344x = 155,904 × 155,904
  4. Step 4: Simplify right side
    101,344x = 24,306,057,216
  5. Step 5: Solve for x
    x = 24,306,057,216/101,344
  6. Step 6: Final answer
    x = 239,837.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.