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Finding the Third Proportional to 73,564.50 and 103,593

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Solution

The third proportional to 73,564.50 and 103,593 is: 145,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564.50 : 103,593 = 103,593 : x
  2. Step 2: Convert to fraction form
    73,564.50/103,593 = 103,593/x
  3. Step 3: Cross multiply
    73,564.50x = 103,593 × 103,593
  4. Step 4: Simplify right side
    73,564.50x = 10,731,509,649
  5. Step 5: Solve for x
    x = 10,731,509,649/73,564.50
  6. Step 6: Final answer
    x = 145,878.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.