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Finding the Third Proportional to 75,724.50 and 110,060.50

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Solution

The third proportional to 75,724.50 and 110,060.50 is: 159,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724.50 : 110,060.50 = 110,060.50 : x
  2. Step 2: Convert to fraction form
    75,724.50/110,060.50 = 110,060.50/x
  3. Step 3: Cross multiply
    75,724.50x = 110,060.50 × 110,060.50
  4. Step 4: Simplify right side
    75,724.50x = 12,113,313,660.25
  5. Step 5: Solve for x
    x = 12,113,313,660.25/75,724.50
  6. Step 6: Final answer
    x = 159,965.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.