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Finding the Third Proportional to 122,089.50 and 261,700.31

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Solution

The third proportional to 122,089.50 and 261,700.31 is: 560,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,089.50 : 261,700.31 = 261,700.31 : x
  2. Step 2: Convert to fraction form
    122,089.50/261,700.31 = 261,700.31/x
  3. Step 3: Cross multiply
    122,089.50x = 261,700.31 × 261,700.31
  4. Step 4: Simplify right side
    122,089.50x = 68,487,053,562.60
  5. Step 5: Solve for x
    x = 68,487,053,562.60/122,089.50
  6. Step 6: Final answer
    x = 560,957.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.