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Finding the Third Proportional to 96,838 and 146,706

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Solution

The third proportional to 96,838 and 146,706 is: 222,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 146,706 = 146,706 : x
  2. Step 2: Convert to fraction form
    96,838/146,706 = 146,706/x
  3. Step 3: Cross multiply
    96,838x = 146,706 × 146,706
  4. Step 4: Simplify right side
    96,838x = 21,522,650,436
  5. Step 5: Solve for x
    x = 21,522,650,436/96,838
  6. Step 6: Final answer
    x = 222,254.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.