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Finding the Third Proportional to 59,109 and 89,755.50

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Solution

The third proportional to 59,109 and 89,755.50 is: 136,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,109 : 89,755.50 = 89,755.50 : x
  2. Step 2: Convert to fraction form
    59,109/89,755.50 = 89,755.50/x
  3. Step 3: Cross multiply
    59,109x = 89,755.50 × 89,755.50
  4. Step 4: Simplify right side
    59,109x = 8,056,049,780.25
  5. Step 5: Solve for x
    x = 8,056,049,780.25/59,109
  6. Step 6: Final answer
    x = 136,291.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.