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Finding the Third Proportional to 72,774 and 115,723

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Solution

The third proportional to 72,774 and 115,723 is: 184,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774 : 115,723 = 115,723 : x
  2. Step 2: Convert to fraction form
    72,774/115,723 = 115,723/x
  3. Step 3: Cross multiply
    72,774x = 115,723 × 115,723
  4. Step 4: Simplify right side
    72,774x = 13,391,812,729
  5. Step 5: Solve for x
    x = 13,391,812,729/72,774
  6. Step 6: Final answer
    x = 184,019.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.