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Finding the Third Proportional to 70,983 and 152,901

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Solution

The third proportional to 70,983 and 152,901 is: 329,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983 : 152,901 = 152,901 : x
  2. Step 2: Convert to fraction form
    70,983/152,901 = 152,901/x
  3. Step 3: Cross multiply
    70,983x = 152,901 × 152,901
  4. Step 4: Simplify right side
    70,983x = 23,378,715,801
  5. Step 5: Solve for x
    x = 23,378,715,801/70,983
  6. Step 6: Final answer
    x = 329,356.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.