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Finding the Third Proportional to 39,123 and 59,431.50

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Solution

The third proportional to 39,123 and 59,431.50 is: 90,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 59,431.50 = 59,431.50 : x
  2. Step 2: Convert to fraction form
    39,123/59,431.50 = 59,431.50/x
  3. Step 3: Cross multiply
    39,123x = 59,431.50 × 59,431.50
  4. Step 4: Simplify right side
    39,123x = 3,532,103,192.25
  5. Step 5: Solve for x
    x = 3,532,103,192.25/39,123
  6. Step 6: Final answer
    x = 90,282.01

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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.