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Finding the Third Proportional to 66,422 and 99,706

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Solution

The third proportional to 66,422 and 99,706 is: 149,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,422 : 99,706 = 99,706 : x
  2. Step 2: Convert to fraction form
    66,422/99,706 = 99,706/x
  3. Step 3: Cross multiply
    66,422x = 99,706 × 99,706
  4. Step 4: Simplify right side
    66,422x = 9,941,286,436
  5. Step 5: Solve for x
    x = 9,941,286,436/66,422
  6. Step 6: Final answer
    x = 149,668.58

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