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Finding the Third Proportional to 116,785.13 and 182,961.42

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Solution

The third proportional to 116,785.13 and 182,961.42 is: 286,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,785.13 : 182,961.42 = 182,961.42 : x
  2. Step 2: Convert to fraction form
    116,785.13/182,961.42 = 182,961.42/x
  3. Step 3: Cross multiply
    116,785.13x = 182,961.42 × 182,961.42
  4. Step 4: Simplify right side
    116,785.13x = 33,474,881,894.52
  5. Step 5: Solve for x
    x = 33,474,881,894.52/116,785.13
  6. Step 6: Final answer
    x = 286,636.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.