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Finding the Third Proportional to 67,952.25 and 99,927

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Solution

The third proportional to 67,952.25 and 99,927 is: 146,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,952.25 : 99,927 = 99,927 : x
  2. Step 2: Convert to fraction form
    67,952.25/99,927 = 99,927/x
  3. Step 3: Cross multiply
    67,952.25x = 99,927 × 99,927
  4. Step 4: Simplify right side
    67,952.25x = 9,985,405,329
  5. Step 5: Solve for x
    x = 9,985,405,329/67,952.25
  6. Step 6: Final answer
    x = 146,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.