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Finding the Third Proportional to 36,232 and 78,899

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Solution

The third proportional to 36,232 and 78,899 is: 171,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 78,899 = 78,899 : x
  2. Step 2: Convert to fraction form
    36,232/78,899 = 78,899/x
  3. Step 3: Cross multiply
    36,232x = 78,899 × 78,899
  4. Step 4: Simplify right side
    36,232x = 6,225,052,201
  5. Step 5: Solve for x
    x = 6,225,052,201/36,232
  6. Step 6: Final answer
    x = 171,810.89

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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.