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Finding the Third Proportional to 36,316 and 85,865

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Solution

The third proportional to 36,316 and 85,865 is: 203,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316 : 85,865 = 85,865 : x
  2. Step 2: Convert to fraction form
    36,316/85,865 = 85,865/x
  3. Step 3: Cross multiply
    36,316x = 85,865 × 85,865
  4. Step 4: Simplify right side
    36,316x = 7,372,798,225
  5. Step 5: Solve for x
    x = 7,372,798,225/36,316
  6. Step 6: Final answer
    x = 203,017.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.