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Finding the Third Proportional to 122,566.50 and 171,855

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Solution

The third proportional to 122,566.50 and 171,855 is: 240,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,566.50 : 171,855 = 171,855 : x
  2. Step 2: Convert to fraction form
    122,566.50/171,855 = 171,855/x
  3. Step 3: Cross multiply
    122,566.50x = 171,855 × 171,855
  4. Step 4: Simplify right side
    122,566.50x = 29,534,141,025
  5. Step 5: Solve for x
    x = 29,534,141,025/122,566.50
  6. Step 6: Final answer
    x = 240,964.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.