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Finding the Third Proportional to 59,589 and 92,326.50

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Solution

The third proportional to 59,589 and 92,326.50 is: 143,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,589 : 92,326.50 = 92,326.50 : x
  2. Step 2: Convert to fraction form
    59,589/92,326.50 = 92,326.50/x
  3. Step 3: Cross multiply
    59,589x = 92,326.50 × 92,326.50
  4. Step 4: Simplify right side
    59,589x = 8,524,182,602.25
  5. Step 5: Solve for x
    x = 8,524,182,602.25/59,589
  6. Step 6: Final answer
    x = 143,049.60

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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.