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Finding the Third Proportional to 65,524.50 and 98,184

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Solution

The third proportional to 65,524.50 and 98,184 is: 147,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.50 : 98,184 = 98,184 : x
  2. Step 2: Convert to fraction form
    65,524.50/98,184 = 98,184/x
  3. Step 3: Cross multiply
    65,524.50x = 98,184 × 98,184
  4. Step 4: Simplify right side
    65,524.50x = 9,640,097,856
  5. Step 5: Solve for x
    x = 9,640,097,856/65,524.50
  6. Step 6: Final answer
    x = 147,122.04

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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.