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Finding the Third Proportional to 52,013 and 115,708

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Solution

The third proportional to 52,013 and 115,708 is: 257,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013 : 115,708 = 115,708 : x
  2. Step 2: Convert to fraction form
    52,013/115,708 = 115,708/x
  3. Step 3: Cross multiply
    52,013x = 115,708 × 115,708
  4. Step 4: Simplify right side
    52,013x = 13,388,341,264
  5. Step 5: Solve for x
    x = 13,388,341,264/52,013
  6. Step 6: Final answer
    x = 257,403.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.