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Finding the Third Proportional to 52,723.50 and 113,877.75

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Solution

The third proportional to 52,723.50 and 113,877.75 is: 245,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,723.50 : 113,877.75 = 113,877.75 : x
  2. Step 2: Convert to fraction form
    52,723.50/113,877.75 = 113,877.75/x
  3. Step 3: Cross multiply
    52,723.50x = 113,877.75 × 113,877.75
  4. Step 4: Simplify right side
    52,723.50x = 12,968,141,945.06
  5. Step 5: Solve for x
    x = 12,968,141,945.06/52,723.50
  6. Step 6: Final answer
    x = 245,965.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.