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Finding the Third Proportional to 48,602.50 and 76,143.75

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Solution

The third proportional to 48,602.50 and 76,143.75 is: 119,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602.50 : 76,143.75 = 76,143.75 : x
  2. Step 2: Convert to fraction form
    48,602.50/76,143.75 = 76,143.75/x
  3. Step 3: Cross multiply
    48,602.50x = 76,143.75 × 76,143.75
  4. Step 4: Simplify right side
    48,602.50x = 5,797,870,664.06
  5. Step 5: Solve for x
    x = 5,797,870,664.06/48,602.50
  6. Step 6: Final answer
    x = 119,291.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.