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Finding the Third Proportional to 67,052.81 and 146,392.31

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Solution

The third proportional to 67,052.81 and 146,392.31 is: 319,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,052.81 : 146,392.31 = 146,392.31 : x
  2. Step 2: Convert to fraction form
    67,052.81/146,392.31 = 146,392.31/x
  3. Step 3: Cross multiply
    67,052.81x = 146,392.31 × 146,392.31
  4. Step 4: Simplify right side
    67,052.81x = 21,430,709,159.10
  5. Step 5: Solve for x
    x = 21,430,709,159.10/67,052.81
  6. Step 6: Final answer
    x = 319,609.40

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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.