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Finding the Third Proportional to 73,398 and 140,963.50

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Solution

The third proportional to 73,398 and 140,963.50 is: 270,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,398 : 140,963.50 = 140,963.50 : x
  2. Step 2: Convert to fraction form
    73,398/140,963.50 = 140,963.50/x
  3. Step 3: Cross multiply
    73,398x = 140,963.50 × 140,963.50
  4. Step 4: Simplify right side
    73,398x = 19,870,708,332.25
  5. Step 5: Solve for x
    x = 19,870,708,332.25/73,398
  6. Step 6: Final answer
    x = 270,725.47

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.