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Finding the Third Proportional to 107,752 and 161,775

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Solution

The third proportional to 107,752 and 161,775 is: 242,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752 : 161,775 = 161,775 : x
  2. Step 2: Convert to fraction form
    107,752/161,775 = 161,775/x
  3. Step 3: Cross multiply
    107,752x = 161,775 × 161,775
  4. Step 4: Simplify right side
    107,752x = 26,171,150,625
  5. Step 5: Solve for x
    x = 26,171,150,625/107,752
  6. Step 6: Final answer
    x = 242,883.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.