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Finding the Third Proportional to 68,888 and 146,044

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Solution

The third proportional to 68,888 and 146,044 is: 309,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,888 : 146,044 = 146,044 : x
  2. Step 2: Convert to fraction form
    68,888/146,044 = 146,044/x
  3. Step 3: Cross multiply
    68,888x = 146,044 × 146,044
  4. Step 4: Simplify right side
    68,888x = 21,328,849,936
  5. Step 5: Solve for x
    x = 21,328,849,936/68,888
  6. Step 6: Final answer
    x = 309,616.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.