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Finding the Third Proportional to 47,101.50 and 83,895.75

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Solution

The third proportional to 47,101.50 and 83,895.75 is: 149,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.50 : 83,895.75 = 83,895.75 : x
  2. Step 2: Convert to fraction form
    47,101.50/83,895.75 = 83,895.75/x
  3. Step 3: Cross multiply
    47,101.50x = 83,895.75 × 83,895.75
  4. Step 4: Simplify right side
    47,101.50x = 7,038,496,868.06
  5. Step 5: Solve for x
    x = 7,038,496,868.06/47,101.50
  6. Step 6: Final answer
    x = 149,432.54

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.