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Finding the Third Proportional to 75,754 and 159,716

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Solution

The third proportional to 75,754 and 159,716 is: 336,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,754 : 159,716 = 159,716 : x
  2. Step 2: Convert to fraction form
    75,754/159,716 = 159,716/x
  3. Step 3: Cross multiply
    75,754x = 159,716 × 159,716
  4. Step 4: Simplify right side
    75,754x = 25,509,200,656
  5. Step 5: Solve for x
    x = 25,509,200,656/75,754
  6. Step 6: Final answer
    x = 336,737.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.