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Finding the Third Proportional to 99,292 and 146,994

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Solution

The third proportional to 99,292 and 146,994 is: 217,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292 : 146,994 = 146,994 : x
  2. Step 2: Convert to fraction form
    99,292/146,994 = 146,994/x
  3. Step 3: Cross multiply
    99,292x = 146,994 × 146,994
  4. Step 4: Simplify right side
    99,292x = 21,607,236,036
  5. Step 5: Solve for x
    x = 21,607,236,036/99,292
  6. Step 6: Final answer
    x = 217,613.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.