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Finding the Third Proportional to 43,168 and 88,424

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Solution

The third proportional to 43,168 and 88,424 is: 181,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,168 : 88,424 = 88,424 : x
  2. Step 2: Convert to fraction form
    43,168/88,424 = 88,424/x
  3. Step 3: Cross multiply
    43,168x = 88,424 × 88,424
  4. Step 4: Simplify right side
    43,168x = 7,818,803,776
  5. Step 5: Solve for x
    x = 7,818,803,776/43,168
  6. Step 6: Final answer
    x = 181,124.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.