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Finding the Third Proportional to 48,192 and 76,960

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Solution

The third proportional to 48,192 and 76,960 is: 122,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192 : 76,960 = 76,960 : x
  2. Step 2: Convert to fraction form
    48,192/76,960 = 76,960/x
  3. Step 3: Cross multiply
    48,192x = 76,960 × 76,960
  4. Step 4: Simplify right side
    48,192x = 5,922,841,600
  5. Step 5: Solve for x
    x = 5,922,841,600/48,192
  6. Step 6: Final answer
    x = 122,900.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.