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Finding the Third Proportional to 100,569.75 and 149,113.75

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Solution

The third proportional to 100,569.75 and 149,113.75 is: 221,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.75 : 149,113.75 = 149,113.75 : x
  2. Step 2: Convert to fraction form
    100,569.75/149,113.75 = 149,113.75/x
  3. Step 3: Cross multiply
    100,569.75x = 149,113.75 × 149,113.75
  4. Step 4: Simplify right side
    100,569.75x = 22,234,910,439.06
  5. Step 5: Solve for x
    x = 22,234,910,439.06/100,569.75
  6. Step 6: Final answer
    x = 221,089.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.