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Finding the Third Proportional to 89,368 and 186,087

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Solution

The third proportional to 89,368 and 186,087 is: 387,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,368 : 186,087 = 186,087 : x
  2. Step 2: Convert to fraction form
    89,368/186,087 = 186,087/x
  3. Step 3: Cross multiply
    89,368x = 186,087 × 186,087
  4. Step 4: Simplify right side
    89,368x = 34,628,371,569
  5. Step 5: Solve for x
    x = 34,628,371,569/89,368
  6. Step 6: Final answer
    x = 387,480.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.