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Finding the Third Proportional to 67,858.50 and 99,760.50

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Solution

The third proportional to 67,858.50 and 99,760.50 is: 146,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,858.50 : 99,760.50 = 99,760.50 : x
  2. Step 2: Convert to fraction form
    67,858.50/99,760.50 = 99,760.50/x
  3. Step 3: Cross multiply
    67,858.50x = 99,760.50 × 99,760.50
  4. Step 4: Simplify right side
    67,858.50x = 9,952,157,360.25
  5. Step 5: Solve for x
    x = 9,952,157,360.25/67,858.50
  6. Step 6: Final answer
    x = 146,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.