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Finding the Third Proportional to 100,569.75 and 149,114.38

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Solution

The third proportional to 100,569.75 and 149,114.38 is: 221,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.75 : 149,114.38 = 149,114.38 : x
  2. Step 2: Convert to fraction form
    100,569.75/149,114.38 = 149,114.38/x
  3. Step 3: Cross multiply
    100,569.75x = 149,114.38 × 149,114.38
  4. Step 4: Simplify right side
    100,569.75x = 22,235,096,831.64
  5. Step 5: Solve for x
    x = 22,235,096,831.64/100,569.75
  6. Step 6: Final answer
    x = 221,091.30

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Why These Related Problems?

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