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Finding the Third Proportional to 103,662 and 146,804

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Solution

The third proportional to 103,662 and 146,804 is: 207,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662 : 146,804 = 146,804 : x
  2. Step 2: Convert to fraction form
    103,662/146,804 = 146,804/x
  3. Step 3: Cross multiply
    103,662x = 146,804 × 146,804
  4. Step 4: Simplify right side
    103,662x = 21,551,414,416
  5. Step 5: Solve for x
    x = 21,551,414,416/103,662
  6. Step 6: Final answer
    x = 207,900.82

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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.