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Finding the Third Proportional to 89,574 and 133,893

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Solution

The third proportional to 89,574 and 133,893 is: 200,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,574 : 133,893 = 133,893 : x
  2. Step 2: Convert to fraction form
    89,574/133,893 = 133,893/x
  3. Step 3: Cross multiply
    89,574x = 133,893 × 133,893
  4. Step 4: Simplify right side
    89,574x = 17,927,335,449
  5. Step 5: Solve for x
    x = 17,927,335,449/89,574
  6. Step 6: Final answer
    x = 200,139.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.