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Finding the Third Proportional to 59,993 and 91,807.50

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Solution

The third proportional to 59,993 and 91,807.50 is: 140,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,993 : 91,807.50 = 91,807.50 : x
  2. Step 2: Convert to fraction form
    59,993/91,807.50 = 91,807.50/x
  3. Step 3: Cross multiply
    59,993x = 91,807.50 × 91,807.50
  4. Step 4: Simplify right side
    59,993x = 8,428,617,056.25
  5. Step 5: Solve for x
    x = 8,428,617,056.25/59,993
  6. Step 6: Final answer
    x = 140,493.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.