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Finding the Third Proportional to 73,801 and 103,560

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Solution

The third proportional to 73,801 and 103,560 is: 145,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,801 : 103,560 = 103,560 : x
  2. Step 2: Convert to fraction form
    73,801/103,560 = 103,560/x
  3. Step 3: Cross multiply
    73,801x = 103,560 × 103,560
  4. Step 4: Simplify right side
    73,801x = 10,724,673,600
  5. Step 5: Solve for x
    x = 10,724,673,600/73,801
  6. Step 6: Final answer
    x = 145,318.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.