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Finding the Third Proportional to 42,243 and 89,864

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Solution

The third proportional to 42,243 and 89,864 is: 191,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243 : 89,864 = 89,864 : x
  2. Step 2: Convert to fraction form
    42,243/89,864 = 89,864/x
  3. Step 3: Cross multiply
    42,243x = 89,864 × 89,864
  4. Step 4: Simplify right side
    42,243x = 8,075,538,496
  5. Step 5: Solve for x
    x = 8,075,538,496/42,243
  6. Step 6: Final answer
    x = 191,168.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.