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Finding the Third Proportional to 50,337.50 and 109,718.50

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Solution

The third proportional to 50,337.50 and 109,718.50 is: 239,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337.50 : 109,718.50 = 109,718.50 : x
  2. Step 2: Convert to fraction form
    50,337.50/109,718.50 = 109,718.50/x
  3. Step 3: Cross multiply
    50,337.50x = 109,718.50 × 109,718.50
  4. Step 4: Simplify right side
    50,337.50x = 12,038,149,242.25
  5. Step 5: Solve for x
    x = 12,038,149,242.25/50,337.50
  6. Step 6: Final answer
    x = 239,148.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.