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Finding the Third Proportional to 70,100 and 152,872

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Solution

The third proportional to 70,100 and 152,872 is: 333,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,100 : 152,872 = 152,872 : x
  2. Step 2: Convert to fraction form
    70,100/152,872 = 152,872/x
  3. Step 3: Cross multiply
    70,100x = 152,872 × 152,872
  4. Step 4: Simplify right side
    70,100x = 23,369,848,384
  5. Step 5: Solve for x
    x = 23,369,848,384/70,100
  6. Step 6: Final answer
    x = 333,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.