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Finding the Third Proportional to 66,212 and 99,466

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Solution

The third proportional to 66,212 and 99,466 is: 149,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,212 : 99,466 = 99,466 : x
  2. Step 2: Convert to fraction form
    66,212/99,466 = 99,466/x
  3. Step 3: Cross multiply
    66,212x = 99,466 × 99,466
  4. Step 4: Simplify right side
    66,212x = 9,893,485,156
  5. Step 5: Solve for x
    x = 9,893,485,156/66,212
  6. Step 6: Final answer
    x = 149,421.33

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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.