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Finding the Third Proportional to 106,784 and 159,792

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Solution

The third proportional to 106,784 and 159,792 is: 239,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,784 : 159,792 = 159,792 : x
  2. Step 2: Convert to fraction form
    106,784/159,792 = 159,792/x
  3. Step 3: Cross multiply
    106,784x = 159,792 × 159,792
  4. Step 4: Simplify right side
    106,784x = 25,533,483,264
  5. Step 5: Solve for x
    x = 25,533,483,264/106,784
  6. Step 6: Final answer
    x = 239,113.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.