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Finding the Third Proportional to 50,500.13 and 76,798.69

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Solution

The third proportional to 50,500.13 and 76,798.69 is: 116,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.13 : 76,798.69 = 76,798.69 : x
  2. Step 2: Convert to fraction form
    50,500.13/76,798.69 = 76,798.69/x
  3. Step 3: Cross multiply
    50,500.13x = 76,798.69 × 76,798.69
  4. Step 4: Simplify right side
    50,500.13x = 5,898,038,401.72
  5. Step 5: Solve for x
    x = 5,898,038,401.72/50,500.13
  6. Step 6: Final answer
    x = 116,792.55

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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.