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Finding the Third Proportional to 44,324 and 68,128

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Solution

The third proportional to 44,324 and 68,128 is: 104,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,324 : 68,128 = 68,128 : x
  2. Step 2: Convert to fraction form
    44,324/68,128 = 68,128/x
  3. Step 3: Cross multiply
    44,324x = 68,128 × 68,128
  4. Step 4: Simplify right side
    44,324x = 4,641,424,384
  5. Step 5: Solve for x
    x = 4,641,424,384/44,324
  6. Step 6: Final answer
    x = 104,715.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.