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Finding the Third Proportional to 96,998 and 146,361

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Solution

The third proportional to 96,998 and 146,361 is: 220,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,998 : 146,361 = 146,361 : x
  2. Step 2: Convert to fraction form
    96,998/146,361 = 146,361/x
  3. Step 3: Cross multiply
    96,998x = 146,361 × 146,361
  4. Step 4: Simplify right side
    96,998x = 21,421,542,321
  5. Step 5: Solve for x
    x = 21,421,542,321/96,998
  6. Step 6: Final answer
    x = 220,845.20

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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.