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Finding the Third Proportional to 60,296.06 and 128,601.84

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Solution

The third proportional to 60,296.06 and 128,601.84 is: 274,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,296.06 : 128,601.84 = 128,601.84 : x
  2. Step 2: Convert to fraction form
    60,296.06/128,601.84 = 128,601.84/x
  3. Step 3: Cross multiply
    60,296.06x = 128,601.84 × 128,601.84
  4. Step 4: Simplify right side
    60,296.06x = 16,538,434,215.90
  5. Step 5: Solve for x
    x = 16,538,434,215.90/60,296.06
  6. Step 6: Final answer
    x = 274,287.13

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Why These Related Problems?

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