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Finding the Third Proportional to 132,863 and 201,755

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Solution

The third proportional to 132,863 and 201,755 is: 306,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,863 : 201,755 = 201,755 : x
  2. Step 2: Convert to fraction form
    132,863/201,755 = 201,755/x
  3. Step 3: Cross multiply
    132,863x = 201,755 × 201,755
  4. Step 4: Simplify right side
    132,863x = 40,705,080,025
  5. Step 5: Solve for x
    x = 40,705,080,025/132,863
  6. Step 6: Final answer
    x = 306,368.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.