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Finding the Third Proportional to 66,950 and 98,571

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Solution

The third proportional to 66,950 and 98,571 is: 145,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,950 : 98,571 = 98,571 : x
  2. Step 2: Convert to fraction form
    66,950/98,571 = 98,571/x
  3. Step 3: Cross multiply
    66,950x = 98,571 × 98,571
  4. Step 4: Simplify right side
    66,950x = 9,716,242,041
  5. Step 5: Solve for x
    x = 9,716,242,041/66,950
  6. Step 6: Final answer
    x = 145,126.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.