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Finding the Third Proportional to 68,851.69 and 102,957.75

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Solution

The third proportional to 68,851.69 and 102,957.75 is: 153,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,851.69 : 102,957.75 = 102,957.75 : x
  2. Step 2: Convert to fraction form
    68,851.69/102,957.75 = 102,957.75/x
  3. Step 3: Cross multiply
    68,851.69x = 102,957.75 × 102,957.75
  4. Step 4: Simplify right side
    68,851.69x = 10,600,298,285.06
  5. Step 5: Solve for x
    x = 10,600,298,285.06/68,851.69
  6. Step 6: Final answer
    x = 153,958.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.