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Finding the Third Proportional to 103,651 and 146,788

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Solution

The third proportional to 103,651 and 146,788 is: 207,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651 : 146,788 = 146,788 : x
  2. Step 2: Convert to fraction form
    103,651/146,788 = 146,788/x
  3. Step 3: Cross multiply
    103,651x = 146,788 × 146,788
  4. Step 4: Simplify right side
    103,651x = 21,546,716,944
  5. Step 5: Solve for x
    x = 21,546,716,944/103,651
  6. Step 6: Final answer
    x = 207,877.56

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