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Finding the Third Proportional to 36,065 and 78,685

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Solution

The third proportional to 36,065 and 78,685 is: 171,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065 : 78,685 = 78,685 : x
  2. Step 2: Convert to fraction form
    36,065/78,685 = 78,685/x
  3. Step 3: Cross multiply
    36,065x = 78,685 × 78,685
  4. Step 4: Simplify right side
    36,065x = 6,191,329,225
  5. Step 5: Solve for x
    x = 6,191,329,225/36,065
  6. Step 6: Final answer
    x = 171,671.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.