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Finding the Third Proportional to 122,095.50 and 261,712.50

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Solution

The third proportional to 122,095.50 and 261,712.50 is: 560,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,095.50 : 261,712.50 = 261,712.50 : x
  2. Step 2: Convert to fraction form
    122,095.50/261,712.50 = 261,712.50/x
  3. Step 3: Cross multiply
    122,095.50x = 261,712.50 × 261,712.50
  4. Step 4: Simplify right side
    122,095.50x = 68,493,432,656.25
  5. Step 5: Solve for x
    x = 68,493,432,656.25/122,095.50
  6. Step 6: Final answer
    x = 560,982.45

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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.