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Finding the Third Proportional to 122,092.50 and 261,706.50

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Solution

The third proportional to 122,092.50 and 261,706.50 is: 560,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,092.50 : 261,706.50 = 261,706.50 : x
  2. Step 2: Convert to fraction form
    122,092.50/261,706.50 = 261,706.50/x
  3. Step 3: Cross multiply
    122,092.50x = 261,706.50 × 261,706.50
  4. Step 4: Simplify right side
    122,092.50x = 68,490,292,142.25
  5. Step 5: Solve for x
    x = 68,490,292,142.25/122,092.50
  6. Step 6: Final answer
    x = 560,970.51

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Why These Related Problems?

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