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Finding the Third Proportional to 52,153 and 112,401

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Solution

The third proportional to 52,153 and 112,401 is: 242,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153 : 112,401 = 112,401 : x
  2. Step 2: Convert to fraction form
    52,153/112,401 = 112,401/x
  3. Step 3: Cross multiply
    52,153x = 112,401 × 112,401
  4. Step 4: Simplify right side
    52,153x = 12,633,984,801
  5. Step 5: Solve for x
    x = 12,633,984,801/52,153
  6. Step 6: Final answer
    x = 242,248.48

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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.