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Finding the Third Proportional to 103,740 and 146,802

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Solution

The third proportional to 103,740 and 146,802 is: 207,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740 : 146,802 = 146,802 : x
  2. Step 2: Convert to fraction form
    103,740/146,802 = 146,802/x
  3. Step 3: Cross multiply
    103,740x = 146,802 × 146,802
  4. Step 4: Simplify right side
    103,740x = 21,550,827,204
  5. Step 5: Solve for x
    x = 21,550,827,204/103,740
  6. Step 6: Final answer
    x = 207,738.84

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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.