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Finding the Third Proportional to 49,508 and 116,750

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Solution

The third proportional to 49,508 and 116,750 is: 275,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,508 : 116,750 = 116,750 : x
  2. Step 2: Convert to fraction form
    49,508/116,750 = 116,750/x
  3. Step 3: Cross multiply
    49,508x = 116,750 × 116,750
  4. Step 4: Simplify right side
    49,508x = 13,630,562,500
  5. Step 5: Solve for x
    x = 13,630,562,500/49,508
  6. Step 6: Final answer
    x = 275,320.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.