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Finding the Third Proportional to 109,584 and 140,028

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Solution

The third proportional to 109,584 and 140,028 is: 178,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,584 : 140,028 = 140,028 : x
  2. Step 2: Convert to fraction form
    109,584/140,028 = 140,028/x
  3. Step 3: Cross multiply
    109,584x = 140,028 × 140,028
  4. Step 4: Simplify right side
    109,584x = 19,607,840,784
  5. Step 5: Solve for x
    x = 19,607,840,784/109,584
  6. Step 6: Final answer
    x = 178,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.