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Finding the Third Proportional to 132,815.53 and 149,423.06

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Solution

The third proportional to 132,815.53 and 149,423.06 is: 168,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,815.53 : 149,423.06 = 149,423.06 : x
  2. Step 2: Convert to fraction form
    132,815.53/149,423.06 = 149,423.06/x
  3. Step 3: Cross multiply
    132,815.53x = 149,423.06 × 149,423.06
  4. Step 4: Simplify right side
    132,815.53x = 22,327,251,606.88
  5. Step 5: Solve for x
    x = 22,327,251,606.88/132,815.53
  6. Step 6: Final answer
    x = 168,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.