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Finding the Third Proportional to 70,379.13 and 146,582.63

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Solution

The third proportional to 70,379.13 and 146,582.63 is: 305,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,379.13 : 146,582.63 = 146,582.63 : x
  2. Step 2: Convert to fraction form
    70,379.13/146,582.63 = 146,582.63/x
  3. Step 3: Cross multiply
    70,379.13x = 146,582.63 × 146,582.63
  4. Step 4: Simplify right side
    70,379.13x = 21,486,465,951.89
  5. Step 5: Solve for x
    x = 21,486,465,951.89/70,379.13
  6. Step 6: Final answer
    x = 305,296.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.