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Finding the Third Proportional to 52,409 and 73,920

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Solution

The third proportional to 52,409 and 73,920 is: 104,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409 : 73,920 = 73,920 : x
  2. Step 2: Convert to fraction form
    52,409/73,920 = 73,920/x
  3. Step 3: Cross multiply
    52,409x = 73,920 × 73,920
  4. Step 4: Simplify right side
    52,409x = 5,464,166,400
  5. Step 5: Solve for x
    x = 5,464,166,400/52,409
  6. Step 6: Final answer
    x = 104,260.08

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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.