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Finding the Third Proportional to 73,799 and 103,557

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Solution

The third proportional to 73,799 and 103,557 is: 145,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,799 : 103,557 = 103,557 : x
  2. Step 2: Convert to fraction form
    73,799/103,557 = 103,557/x
  3. Step 3: Cross multiply
    73,799x = 103,557 × 103,557
  4. Step 4: Simplify right side
    73,799x = 10,724,052,249
  5. Step 5: Solve for x
    x = 10,724,052,249/73,799
  6. Step 6: Final answer
    x = 145,314.33

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Why These Related Problems?

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