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Finding the Third Proportional to 72,775 and 115,724

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Solution

The third proportional to 72,775 and 115,724 is: 184,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775 : 115,724 = 115,724 : x
  2. Step 2: Convert to fraction form
    72,775/115,724 = 115,724/x
  3. Step 3: Cross multiply
    72,775x = 115,724 × 115,724
  4. Step 4: Simplify right side
    72,775x = 13,392,044,176
  5. Step 5: Solve for x
    x = 13,392,044,176/72,775
  6. Step 6: Final answer
    x = 184,019.84

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