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Finding the Third Proportional to 65,873.25 and 98,631

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Solution

The third proportional to 65,873.25 and 98,631 is: 147,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.25 : 98,631 = 98,631 : x
  2. Step 2: Convert to fraction form
    65,873.25/98,631 = 98,631/x
  3. Step 3: Cross multiply
    65,873.25x = 98,631 × 98,631
  4. Step 4: Simplify right side
    65,873.25x = 9,728,074,161
  5. Step 5: Solve for x
    x = 9,728,074,161/65,873.25
  6. Step 6: Final answer
    x = 147,678.67

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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.