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Finding the Third Proportional to 44,138 and 96,028

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Solution

The third proportional to 44,138 and 96,028 is: 208,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,138 : 96,028 = 96,028 : x
  2. Step 2: Convert to fraction form
    44,138/96,028 = 96,028/x
  3. Step 3: Cross multiply
    44,138x = 96,028 × 96,028
  4. Step 4: Simplify right side
    44,138x = 9,221,376,784
  5. Step 5: Solve for x
    x = 9,221,376,784/44,138
  6. Step 6: Final answer
    x = 208,921.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.