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Finding the Third Proportional to 97,382.25 and 146,712.94

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Solution

The third proportional to 97,382.25 and 146,712.94 is: 221,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382.25 : 146,712.94 = 146,712.94 : x
  2. Step 2: Convert to fraction form
    97,382.25/146,712.94 = 146,712.94/x
  3. Step 3: Cross multiply
    97,382.25x = 146,712.94 × 146,712.94
  4. Step 4: Simplify right side
    97,382.25x = 21,524,686,029.88
  5. Step 5: Solve for x
    x = 21,524,686,029.88/97,382.25
  6. Step 6: Final answer
    x = 221,032.95

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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.