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Finding the Third Proportional to 88,701 and 133,146

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Solution

The third proportional to 88,701 and 133,146 is: 199,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,701 : 133,146 = 133,146 : x
  2. Step 2: Convert to fraction form
    88,701/133,146 = 133,146/x
  3. Step 3: Cross multiply
    88,701x = 133,146 × 133,146
  4. Step 4: Simplify right side
    88,701x = 17,727,857,316
  5. Step 5: Solve for x
    x = 17,727,857,316/88,701
  6. Step 6: Final answer
    x = 199,860.85

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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.