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Finding the Third Proportional to 35,326 and 74,864

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Solution

The third proportional to 35,326 and 74,864 is: 158,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,326 : 74,864 = 74,864 : x
  2. Step 2: Convert to fraction form
    35,326/74,864 = 74,864/x
  3. Step 3: Cross multiply
    35,326x = 74,864 × 74,864
  4. Step 4: Simplify right side
    35,326x = 5,604,618,496
  5. Step 5: Solve for x
    x = 5,604,618,496/35,326
  6. Step 6: Final answer
    x = 158,654.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.