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Finding the Third Proportional to 103,696 and 146,855

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Solution

The third proportional to 103,696 and 146,855 is: 207,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 146,855 = 146,855 : x
  2. Step 2: Convert to fraction form
    103,696/146,855 = 146,855/x
  3. Step 3: Cross multiply
    103,696x = 146,855 × 146,855
  4. Step 4: Simplify right side
    103,696x = 21,566,391,025
  5. Step 5: Solve for x
    x = 21,566,391,025/103,696
  6. Step 6: Final answer
    x = 207,977.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.