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Finding the Third Proportional to 98,589.75 and 147,715.50

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Solution

The third proportional to 98,589.75 and 147,715.50 is: 221,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,589.75 : 147,715.50 = 147,715.50 : x
  2. Step 2: Convert to fraction form
    98,589.75/147,715.50 = 147,715.50/x
  3. Step 3: Cross multiply
    98,589.75x = 147,715.50 × 147,715.50
  4. Step 4: Simplify right side
    98,589.75x = 21,819,868,940.25
  5. Step 5: Solve for x
    x = 21,819,868,940.25/98,589.75
  6. Step 6: Final answer
    x = 221,319.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.