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Finding the Third Proportional to 49,495 and 106,649

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Solution

The third proportional to 49,495 and 106,649 is: 229,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495 : 106,649 = 106,649 : x
  2. Step 2: Convert to fraction form
    49,495/106,649 = 106,649/x
  3. Step 3: Cross multiply
    49,495x = 106,649 × 106,649
  4. Step 4: Simplify right side
    49,495x = 11,374,009,201
  5. Step 5: Solve for x
    x = 11,374,009,201/49,495
  6. Step 6: Final answer
    x = 229,801.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.