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Finding the Third Proportional to 73,610 and 116,749

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Solution

The third proportional to 73,610 and 116,749 is: 185,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,610 : 116,749 = 116,749 : x
  2. Step 2: Convert to fraction form
    73,610/116,749 = 116,749/x
  3. Step 3: Cross multiply
    73,610x = 116,749 × 116,749
  4. Step 4: Simplify right side
    73,610x = 13,630,329,001
  5. Step 5: Solve for x
    x = 13,630,329,001/73,610
  6. Step 6: Final answer
    x = 185,169.53

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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.