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Finding the Third Proportional to 66,138 and 99,354

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Solution

The third proportional to 66,138 and 99,354 is: 149,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,138 : 99,354 = 99,354 : x
  2. Step 2: Convert to fraction form
    66,138/99,354 = 99,354/x
  3. Step 3: Cross multiply
    66,138x = 99,354 × 99,354
  4. Step 4: Simplify right side
    66,138x = 9,871,217,316
  5. Step 5: Solve for x
    x = 9,871,217,316/66,138
  6. Step 6: Final answer
    x = 149,251.83

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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.