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Finding the Third Proportional to 52,048.13 and 113,725.13

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Solution

The third proportional to 52,048.13 and 113,725.13 is: 248,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.13 : 113,725.13 = 113,725.13 : x
  2. Step 2: Convert to fraction form
    52,048.13/113,725.13 = 113,725.13/x
  3. Step 3: Cross multiply
    52,048.13x = 113,725.13 × 113,725.13
  4. Step 4: Simplify right side
    52,048.13x = 12,933,404,056.27
  5. Step 5: Solve for x
    x = 12,933,404,056.27/52,048.13
  6. Step 6: Final answer
    x = 248,489.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.