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Finding the Third Proportional to 96,996 and 146,358

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Solution

The third proportional to 96,996 and 146,358 is: 220,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,996 : 146,358 = 146,358 : x
  2. Step 2: Convert to fraction form
    96,996/146,358 = 146,358/x
  3. Step 3: Cross multiply
    96,996x = 146,358 × 146,358
  4. Step 4: Simplify right side
    96,996x = 21,420,664,164
  5. Step 5: Solve for x
    x = 21,420,664,164/96,996
  6. Step 6: Final answer
    x = 220,840.70

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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.