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Finding the Third Proportional to 52,390 and 113,524

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Solution

The third proportional to 52,390 and 113,524 is: 245,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,390 : 113,524 = 113,524 : x
  2. Step 2: Convert to fraction form
    52,390/113,524 = 113,524/x
  3. Step 3: Cross multiply
    52,390x = 113,524 × 113,524
  4. Step 4: Simplify right side
    52,390x = 12,887,698,576
  5. Step 5: Solve for x
    x = 12,887,698,576/52,390
  6. Step 6: Final answer
    x = 245,995.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.