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Finding the Third Proportional to 111,785.63 and 166,159.13

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Solution

The third proportional to 111,785.63 and 166,159.13 is: 246,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,785.63 : 166,159.13 = 166,159.13 : x
  2. Step 2: Convert to fraction form
    111,785.63/166,159.13 = 166,159.13/x
  3. Step 3: Cross multiply
    111,785.63x = 166,159.13 × 166,159.13
  4. Step 4: Simplify right side
    111,785.63x = 27,608,854,820.77
  5. Step 5: Solve for x
    x = 27,608,854,820.77/111,785.63
  6. Step 6: Final answer
    x = 246,980.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.