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Finding the Third Proportional to 73,623 and 116,761.50

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Solution

The third proportional to 73,623 and 116,761.50 is: 185,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,623 : 116,761.50 = 116,761.50 : x
  2. Step 2: Convert to fraction form
    73,623/116,761.50 = 116,761.50/x
  3. Step 3: Cross multiply
    73,623x = 116,761.50 × 116,761.50
  4. Step 4: Simplify right side
    73,623x = 13,633,247,882.25
  5. Step 5: Solve for x
    x = 13,633,247,882.25/73,623
  6. Step 6: Final answer
    x = 185,176.48

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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.