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Finding the Third Proportional to 100,007.25 and 146,061

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Solution

The third proportional to 100,007.25 and 146,061 is: 213,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007.25 : 146,061 = 146,061 : x
  2. Step 2: Convert to fraction form
    100,007.25/146,061 = 146,061/x
  3. Step 3: Cross multiply
    100,007.25x = 146,061 × 146,061
  4. Step 4: Simplify right side
    100,007.25x = 21,333,815,721
  5. Step 5: Solve for x
    x = 21,333,815,721/100,007.25
  6. Step 6: Final answer
    x = 213,322.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.