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Finding the Third Proportional to 52,713 and 113,485

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Solution

The third proportional to 52,713 and 113,485 is: 244,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,713 : 113,485 = 113,485 : x
  2. Step 2: Convert to fraction form
    52,713/113,485 = 113,485/x
  3. Step 3: Cross multiply
    52,713x = 113,485 × 113,485
  4. Step 4: Simplify right side
    52,713x = 12,878,845,225
  5. Step 5: Solve for x
    x = 12,878,845,225/52,713
  6. Step 6: Final answer
    x = 244,320.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.