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Finding the Third Proportional to 52,515 and 121,446

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Solution

The third proportional to 52,515 and 121,446 is: 280,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,515 : 121,446 = 121,446 : x
  2. Step 2: Convert to fraction form
    52,515/121,446 = 121,446/x
  3. Step 3: Cross multiply
    52,515x = 121,446 × 121,446
  4. Step 4: Simplify right side
    52,515x = 14,749,130,916
  5. Step 5: Solve for x
    x = 14,749,130,916/52,515
  6. Step 6: Final answer
    x = 280,855.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.