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Finding the Third Proportional to 53,757 and 113,926.50

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Solution

The third proportional to 53,757 and 113,926.50 is: 241,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,757 : 113,926.50 = 113,926.50 : x
  2. Step 2: Convert to fraction form
    53,757/113,926.50 = 113,926.50/x
  3. Step 3: Cross multiply
    53,757x = 113,926.50 × 113,926.50
  4. Step 4: Simplify right side
    53,757x = 12,979,247,402.25
  5. Step 5: Solve for x
    x = 12,979,247,402.25/53,757
  6. Step 6: Final answer
    x = 241,442.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.