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Finding the Third Proportional to 89,788 and 133,904

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Solution

The third proportional to 89,788 and 133,904 is: 199,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,788 : 133,904 = 133,904 : x
  2. Step 2: Convert to fraction form
    89,788/133,904 = 133,904/x
  3. Step 3: Cross multiply
    89,788x = 133,904 × 133,904
  4. Step 4: Simplify right side
    89,788x = 17,930,281,216
  5. Step 5: Solve for x
    x = 17,930,281,216/89,788
  6. Step 6: Final answer
    x = 199,695.74

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