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Finding the Third Proportional to 101,326 and 156,910

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Solution

The third proportional to 101,326 and 156,910 is: 242,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,326 : 156,910 = 156,910 : x
  2. Step 2: Convert to fraction form
    101,326/156,910 = 156,910/x
  3. Step 3: Cross multiply
    101,326x = 156,910 × 156,910
  4. Step 4: Simplify right side
    101,326x = 24,620,748,100
  5. Step 5: Solve for x
    x = 24,620,748,100/101,326
  6. Step 6: Final answer
    x = 242,985.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.