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Finding the Third Proportional to 132,411.38 and 202,591.13

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Solution

The third proportional to 132,411.38 and 202,591.13 is: 309,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,411.38 : 202,591.13 = 202,591.13 : x
  2. Step 2: Convert to fraction form
    132,411.38/202,591.13 = 202,591.13/x
  3. Step 3: Cross multiply
    132,411.38x = 202,591.13 × 202,591.13
  4. Step 4: Simplify right side
    132,411.38x = 41,043,163,928.77
  5. Step 5: Solve for x
    x = 41,043,163,928.77/132,411.38
  6. Step 6: Final answer
    x = 309,967.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.