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Finding the Third Proportional to 52,918 and 113,199.50

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Solution

The third proportional to 52,918 and 113,199.50 is: 242,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,918 : 113,199.50 = 113,199.50 : x
  2. Step 2: Convert to fraction form
    52,918/113,199.50 = 113,199.50/x
  3. Step 3: Cross multiply
    52,918x = 113,199.50 × 113,199.50
  4. Step 4: Simplify right side
    52,918x = 12,814,126,800.25
  5. Step 5: Solve for x
    x = 12,814,126,800.25/52,918
  6. Step 6: Final answer
    x = 242,150.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.