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Finding the Third Proportional to 67,426.50 and 146,739

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Solution

The third proportional to 67,426.50 and 146,739 is: 319,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,426.50 : 146,739 = 146,739 : x
  2. Step 2: Convert to fraction form
    67,426.50/146,739 = 146,739/x
  3. Step 3: Cross multiply
    67,426.50x = 146,739 × 146,739
  4. Step 4: Simplify right side
    67,426.50x = 21,532,334,121
  5. Step 5: Solve for x
    x = 21,532,334,121/67,426.50
  6. Step 6: Final answer
    x = 319,345.27

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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.