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Finding the Third Proportional to 59,434.88 and 128,232.38

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Solution

The third proportional to 59,434.88 and 128,232.38 is: 276,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,434.88 : 128,232.38 = 128,232.38 : x
  2. Step 2: Convert to fraction form
    59,434.88/128,232.38 = 128,232.38/x
  3. Step 3: Cross multiply
    59,434.88x = 128,232.38 × 128,232.38
  4. Step 4: Simplify right side
    59,434.88x = 16,443,541,998.14
  5. Step 5: Solve for x
    x = 16,443,541,998.14/59,434.88
  6. Step 6: Final answer
    x = 276,664.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.