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Finding the Third Proportional to 73,720 and 116,898

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Solution

The third proportional to 73,720 and 116,898 is: 185,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720 : 116,898 = 116,898 : x
  2. Step 2: Convert to fraction form
    73,720/116,898 = 116,898/x
  3. Step 3: Cross multiply
    73,720x = 116,898 × 116,898
  4. Step 4: Simplify right side
    73,720x = 13,665,142,404
  5. Step 5: Solve for x
    x = 13,665,142,404/73,720
  6. Step 6: Final answer
    x = 185,365.47

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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.