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Finding the Third Proportional to 75,768 and 159,523.50

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Solution

The third proportional to 75,768 and 159,523.50 is: 335,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 159,523.50 = 159,523.50 : x
  2. Step 2: Convert to fraction form
    75,768/159,523.50 = 159,523.50/x
  3. Step 3: Cross multiply
    75,768x = 159,523.50 × 159,523.50
  4. Step 4: Simplify right side
    75,768x = 25,447,747,052.25
  5. Step 5: Solve for x
    x = 25,447,747,052.25/75,768
  6. Step 6: Final answer
    x = 335,864.05

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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.