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Finding the Third Proportional to 88,186 and 133,073

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Solution

The third proportional to 88,186 and 133,073 is: 200,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,186 : 133,073 = 133,073 : x
  2. Step 2: Convert to fraction form
    88,186/133,073 = 133,073/x
  3. Step 3: Cross multiply
    88,186x = 133,073 × 133,073
  4. Step 4: Simplify right side
    88,186x = 17,708,423,329
  5. Step 5: Solve for x
    x = 17,708,423,329/88,186
  6. Step 6: Final answer
    x = 200,807.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.