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Finding the Third Proportional to 89,460 and 183,078

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Solution

The third proportional to 89,460 and 183,078 is: 374,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460 : 183,078 = 183,078 : x
  2. Step 2: Convert to fraction form
    89,460/183,078 = 183,078/x
  3. Step 3: Cross multiply
    89,460x = 183,078 × 183,078
  4. Step 4: Simplify right side
    89,460x = 33,517,554,084
  5. Step 5: Solve for x
    x = 33,517,554,084/89,460
  6. Step 6: Final answer
    x = 374,665.26

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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.