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Finding the Third Proportional to 73,656 and 153,872

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Solution

The third proportional to 73,656 and 153,872 is: 321,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656 : 153,872 = 153,872 : x
  2. Step 2: Convert to fraction form
    73,656/153,872 = 153,872/x
  3. Step 3: Cross multiply
    73,656x = 153,872 × 153,872
  4. Step 4: Simplify right side
    73,656x = 23,676,592,384
  5. Step 5: Solve for x
    x = 23,676,592,384/73,656
  6. Step 6: Final answer
    x = 321,448.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.