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Finding the Third Proportional to 67,235.91 and 146,301.19

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Solution

The third proportional to 67,235.91 and 146,301.19 is: 318,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,235.91 : 146,301.19 = 146,301.19 : x
  2. Step 2: Convert to fraction form
    67,235.91/146,301.19 = 146,301.19/x
  3. Step 3: Cross multiply
    67,235.91x = 146,301.19 × 146,301.19
  4. Step 4: Simplify right side
    67,235.91x = 21,404,037,463.91
  5. Step 5: Solve for x
    x = 21,404,037,463.91/67,235.91
  6. Step 6: Final answer
    x = 318,342.37

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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.