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Finding the Third Proportional to 97,792 and 146,904

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Solution

The third proportional to 97,792 and 146,904 is: 220,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,792 : 146,904 = 146,904 : x
  2. Step 2: Convert to fraction form
    97,792/146,904 = 146,904/x
  3. Step 3: Cross multiply
    97,792x = 146,904 × 146,904
  4. Step 4: Simplify right side
    97,792x = 21,580,785,216
  5. Step 5: Solve for x
    x = 21,580,785,216/97,792
  6. Step 6: Final answer
    x = 220,680.48

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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.