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Finding the Third Proportional to 36,754 and 80,513

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Solution

The third proportional to 36,754 and 80,513 is: 176,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,754 : 80,513 = 80,513 : x
  2. Step 2: Convert to fraction form
    36,754/80,513 = 80,513/x
  3. Step 3: Cross multiply
    36,754x = 80,513 × 80,513
  4. Step 4: Simplify right side
    36,754x = 6,482,343,169
  5. Step 5: Solve for x
    x = 6,482,343,169/36,754
  6. Step 6: Final answer
    x = 176,371.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.