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Finding the Third Proportional to 96,739.13 and 146,569.13

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Solution

The third proportional to 96,739.13 and 146,569.13 is: 222,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,739.13 : 146,569.13 = 146,569.13 : x
  2. Step 2: Convert to fraction form
    96,739.13/146,569.13 = 146,569.13/x
  3. Step 3: Cross multiply
    96,739.13x = 146,569.13 × 146,569.13
  4. Step 4: Simplify right side
    96,739.13x = 21,482,508,403.27
  5. Step 5: Solve for x
    x = 21,482,508,403.27/96,739.13
  6. Step 6: Final answer
    x = 222,066.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.