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Finding the Third Proportional to 75,792 and 163,648

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Solution

The third proportional to 75,792 and 163,648 is: 353,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,792 : 163,648 = 163,648 : x
  2. Step 2: Convert to fraction form
    75,792/163,648 = 163,648/x
  3. Step 3: Cross multiply
    75,792x = 163,648 × 163,648
  4. Step 4: Simplify right side
    75,792x = 26,780,667,904
  5. Step 5: Solve for x
    x = 26,780,667,904/75,792
  6. Step 6: Final answer
    x = 353,344.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.