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Finding the Third Proportional to 70,704 and 146,329

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Solution

The third proportional to 70,704 and 146,329 is: 302,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704 : 146,329 = 146,329 : x
  2. Step 2: Convert to fraction form
    70,704/146,329 = 146,329/x
  3. Step 3: Cross multiply
    70,704x = 146,329 × 146,329
  4. Step 4: Simplify right side
    70,704x = 21,412,176,241
  5. Step 5: Solve for x
    x = 21,412,176,241/70,704
  6. Step 6: Final answer
    x = 302,842.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.