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Finding the Third Proportional to 103,976 and 156,900

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Solution

The third proportional to 103,976 and 156,900 is: 236,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976 : 156,900 = 156,900 : x
  2. Step 2: Convert to fraction form
    103,976/156,900 = 156,900/x
  3. Step 3: Cross multiply
    103,976x = 156,900 × 156,900
  4. Step 4: Simplify right side
    103,976x = 24,617,610,000
  5. Step 5: Solve for x
    x = 24,617,610,000/103,976
  6. Step 6: Final answer
    x = 236,762.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.