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Finding the Third Proportional to 59,475.94 and 128,236.50

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Solution

The third proportional to 59,475.94 and 128,236.50 is: 276,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,475.94 : 128,236.50 = 128,236.50 : x
  2. Step 2: Convert to fraction form
    59,475.94/128,236.50 = 128,236.50/x
  3. Step 3: Cross multiply
    59,475.94x = 128,236.50 × 128,236.50
  4. Step 4: Simplify right side
    59,475.94x = 16,444,599,932.25
  5. Step 5: Solve for x
    x = 16,444,599,932.25/59,475.94
  6. Step 6: Final answer
    x = 276,491.65

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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.