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Finding the Third Proportional to 52,218 and 76,126.50

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Solution

The third proportional to 52,218 and 76,126.50 is: 110,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 76,126.50 = 76,126.50 : x
  2. Step 2: Convert to fraction form
    52,218/76,126.50 = 76,126.50/x
  3. Step 3: Cross multiply
    52,218x = 76,126.50 × 76,126.50
  4. Step 4: Simplify right side
    52,218x = 5,795,244,002.25
  5. Step 5: Solve for x
    x = 5,795,244,002.25/52,218
  6. Step 6: Final answer
    x = 110,981.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.