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Finding the Third Proportional to 36,506 and 78,836

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Solution

The third proportional to 36,506 and 78,836 is: 170,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 78,836 = 78,836 : x
  2. Step 2: Convert to fraction form
    36,506/78,836 = 78,836/x
  3. Step 3: Cross multiply
    36,506x = 78,836 × 78,836
  4. Step 4: Simplify right side
    36,506x = 6,215,114,896
  5. Step 5: Solve for x
    x = 6,215,114,896/36,506
  6. Step 6: Final answer
    x = 170,249.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.