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Finding the Third Proportional to 36,169 and 74,281

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Solution

The third proportional to 36,169 and 74,281 is: 152,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169 : 74,281 = 74,281 : x
  2. Step 2: Convert to fraction form
    36,169/74,281 = 74,281/x
  3. Step 3: Cross multiply
    36,169x = 74,281 × 74,281
  4. Step 4: Simplify right side
    36,169x = 5,517,666,961
  5. Step 5: Solve for x
    x = 5,517,666,961/36,169
  6. Step 6: Final answer
    x = 152,552.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.