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Finding the Third Proportional to 39,123 and 62,990.16

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Solution

The third proportional to 39,123 and 62,990.16 is: 101,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 62,990.16 = 62,990.16 : x
  2. Step 2: Convert to fraction form
    39,123/62,990.16 = 62,990.16/x
  3. Step 3: Cross multiply
    39,123x = 62,990.16 × 62,990.16
  4. Step 4: Simplify right side
    39,123x = 3,967,759,784.40
  5. Step 5: Solve for x
    x = 3,967,759,784.40/39,123
  6. Step 6: Final answer
    x = 101,417.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.