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Finding the Third Proportional to 60,097.50 and 128,239.31

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Solution

The third proportional to 60,097.50 and 128,239.31 is: 273,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,097.50 : 128,239.31 = 128,239.31 : x
  2. Step 2: Convert to fraction form
    60,097.50/128,239.31 = 128,239.31/x
  3. Step 3: Cross multiply
    60,097.50x = 128,239.31 × 128,239.31
  4. Step 4: Simplify right side
    60,097.50x = 16,445,321,270.47
  5. Step 5: Solve for x
    x = 16,445,321,270.47/60,097.50
  6. Step 6: Final answer
    x = 273,644.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.