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Finding the Third Proportional to 59,327.50 and 91,888

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Solution

The third proportional to 59,327.50 and 91,888 is: 142,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,327.50 : 91,888 = 91,888 : x
  2. Step 2: Convert to fraction form
    59,327.50/91,888 = 91,888/x
  3. Step 3: Cross multiply
    59,327.50x = 91,888 × 91,888
  4. Step 4: Simplify right side
    59,327.50x = 8,443,404,544
  5. Step 5: Solve for x
    x = 8,443,404,544/59,327.50
  6. Step 6: Final answer
    x = 142,318.56

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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.