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Finding the Third Proportional to 59,140.13 and 128,262.71

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Solution

The third proportional to 59,140.13 and 128,262.71 is: 278,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,140.13 : 128,262.71 = 128,262.71 : x
  2. Step 2: Convert to fraction form
    59,140.13/128,262.71 = 128,262.71/x
  3. Step 3: Cross multiply
    59,140.13x = 128,262.71 × 128,262.71
  4. Step 4: Simplify right side
    59,140.13x = 16,451,322,516.01
  5. Step 5: Solve for x
    x = 16,451,322,516.01/59,140.13
  6. Step 6: Final answer
    x = 278,175.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.