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Finding the Third Proportional to 52,367.13 and 113,034.87

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Solution

The third proportional to 52,367.13 and 113,034.87 is: 243,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.13 : 113,034.87 = 113,034.87 : x
  2. Step 2: Convert to fraction form
    52,367.13/113,034.87 = 113,034.87/x
  3. Step 3: Cross multiply
    52,367.13x = 113,034.87 × 113,034.87
  4. Step 4: Simplify right side
    52,367.13x = 12,776,881,200.10
  5. Step 5: Solve for x
    x = 12,776,881,200.10/52,367.13
  6. Step 6: Final answer
    x = 243,986.65

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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.