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Finding the Third Proportional to 70,933 and 153,686

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Solution

The third proportional to 70,933 and 153,686 is: 332,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,933 : 153,686 = 153,686 : x
  2. Step 2: Convert to fraction form
    70,933/153,686 = 153,686/x
  3. Step 3: Cross multiply
    70,933x = 153,686 × 153,686
  4. Step 4: Simplify right side
    70,933x = 23,619,386,596
  5. Step 5: Solve for x
    x = 23,619,386,596/70,933
  6. Step 6: Final answer
    x = 332,981.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.