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Finding the Third Proportional to 66,050 and 98,814

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Solution

The third proportional to 66,050 and 98,814 is: 147,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,050 : 98,814 = 98,814 : x
  2. Step 2: Convert to fraction form
    66,050/98,814 = 98,814/x
  3. Step 3: Cross multiply
    66,050x = 98,814 × 98,814
  4. Step 4: Simplify right side
    66,050x = 9,764,206,596
  5. Step 5: Solve for x
    x = 9,764,206,596/66,050
  6. Step 6: Final answer
    x = 147,830.53

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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.