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Finding the Third Proportional to 52,719.25 and 113,742.75

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Solution

The third proportional to 52,719.25 and 113,742.75 is: 245,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719.25 : 113,742.75 = 113,742.75 : x
  2. Step 2: Convert to fraction form
    52,719.25/113,742.75 = 113,742.75/x
  3. Step 3: Cross multiply
    52,719.25x = 113,742.75 × 113,742.75
  4. Step 4: Simplify right side
    52,719.25x = 12,937,413,177.56
  5. Step 5: Solve for x
    x = 12,937,413,177.56/52,719.25
  6. Step 6: Final answer
    x = 245,402.07

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Why These Related Problems?

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