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Finding the Third Proportional to 36,426 and 79,998

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Solution

The third proportional to 36,426 and 79,998 is: 175,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,426 : 79,998 = 79,998 : x
  2. Step 2: Convert to fraction form
    36,426/79,998 = 79,998/x
  3. Step 3: Cross multiply
    36,426x = 79,998 × 79,998
  4. Step 4: Simplify right side
    36,426x = 6,399,680,004
  5. Step 5: Solve for x
    x = 6,399,680,004/36,426
  6. Step 6: Final answer
    x = 175,689.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.