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Finding the Third Proportional to 108,106 and 171,777

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Solution

The third proportional to 108,106 and 171,777 is: 272,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,106 : 171,777 = 171,777 : x
  2. Step 2: Convert to fraction form
    108,106/171,777 = 171,777/x
  3. Step 3: Cross multiply
    108,106x = 171,777 × 171,777
  4. Step 4: Simplify right side
    108,106x = 29,507,337,729
  5. Step 5: Solve for x
    x = 29,507,337,729/108,106
  6. Step 6: Final answer
    x = 272,948.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.