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Finding the Third Proportional to 49,490 and 106,750

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Solution

The third proportional to 49,490 and 106,750 is: 230,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490 : 106,750 = 106,750 : x
  2. Step 2: Convert to fraction form
    49,490/106,750 = 106,750/x
  3. Step 3: Cross multiply
    49,490x = 106,750 × 106,750
  4. Step 4: Simplify right side
    49,490x = 11,395,562,500
  5. Step 5: Solve for x
    x = 11,395,562,500/49,490
  6. Step 6: Final answer
    x = 230,259.90

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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.