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Finding the Third Proportional to 116,921 and 252,525

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Solution

The third proportional to 116,921 and 252,525 is: 545,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,921 : 252,525 = 252,525 : x
  2. Step 2: Convert to fraction form
    116,921/252,525 = 252,525/x
  3. Step 3: Cross multiply
    116,921x = 252,525 × 252,525
  4. Step 4: Simplify right side
    116,921x = 63,768,875,625
  5. Step 5: Solve for x
    x = 63,768,875,625/116,921
  6. Step 6: Final answer
    x = 545,401.39

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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.