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Finding the Third Proportional to 134,310.66 and 182,515.78

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Solution

The third proportional to 134,310.66 and 182,515.78 is: 248,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,310.66 : 182,515.78 = 182,515.78 : x
  2. Step 2: Convert to fraction form
    134,310.66/182,515.78 = 182,515.78/x
  3. Step 3: Cross multiply
    134,310.66x = 182,515.78 × 182,515.78
  4. Step 4: Simplify right side
    134,310.66x = 33,312,010,405.30
  5. Step 5: Solve for x
    x = 33,312,010,405.30/134,310.66
  6. Step 6: Final answer
    x = 248,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.