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Finding the Third Proportional to 103,598 and 146,228.25

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Solution

The third proportional to 103,598 and 146,228.25 is: 206,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598 : 146,228.25 = 146,228.25 : x
  2. Step 2: Convert to fraction form
    103,598/146,228.25 = 146,228.25/x
  3. Step 3: Cross multiply
    103,598x = 146,228.25 × 146,228.25
  4. Step 4: Simplify right side
    103,598x = 21,382,701,098.06
  5. Step 5: Solve for x
    x = 21,382,701,098.06/103,598
  6. Step 6: Final answer
    x = 206,400.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.