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Finding the Third Proportional to 36,461 and 79,780

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Solution

The third proportional to 36,461 and 79,780 is: 174,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461 : 79,780 = 79,780 : x
  2. Step 2: Convert to fraction form
    36,461/79,780 = 79,780/x
  3. Step 3: Cross multiply
    36,461x = 79,780 × 79,780
  4. Step 4: Simplify right side
    36,461x = 6,364,848,400
  5. Step 5: Solve for x
    x = 6,364,848,400/36,461
  6. Step 6: Final answer
    x = 174,565.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.