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Finding the Third Proportional to 75,636 and 157,496

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Solution

The third proportional to 75,636 and 157,496 is: 327,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 157,496 = 157,496 : x
  2. Step 2: Convert to fraction form
    75,636/157,496 = 157,496/x
  3. Step 3: Cross multiply
    75,636x = 157,496 × 157,496
  4. Step 4: Simplify right side
    75,636x = 24,804,990,016
  5. Step 5: Solve for x
    x = 24,804,990,016/75,636
  6. Step 6: Final answer
    x = 327,952.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.