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Finding the Third Proportional to 75,348.98 and 116,566.59

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Solution

The third proportional to 75,348.98 and 116,566.59 is: 180,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348.98 : 116,566.59 = 116,566.59 : x
  2. Step 2: Convert to fraction form
    75,348.98/116,566.59 = 116,566.59/x
  3. Step 3: Cross multiply
    75,348.98x = 116,566.59 × 116,566.59
  4. Step 4: Simplify right side
    75,348.98x = 13,587,770,778.48
  5. Step 5: Solve for x
    x = 13,587,770,778.48/75,348.98
  6. Step 6: Final answer
    x = 180,331.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.