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Finding the Third Proportional to 122,712 and 172,764

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Solution

The third proportional to 122,712 and 172,764 is: 243,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,712 : 172,764 = 172,764 : x
  2. Step 2: Convert to fraction form
    122,712/172,764 = 172,764/x
  3. Step 3: Cross multiply
    122,712x = 172,764 × 172,764
  4. Step 4: Simplify right side
    122,712x = 29,847,399,696
  5. Step 5: Solve for x
    x = 29,847,399,696/122,712
  6. Step 6: Final answer
    x = 243,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.