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Finding the Third Proportional to 76,785 and 116,253

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Solution

The third proportional to 76,785 and 116,253 is: 176,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785 : 116,253 = 116,253 : x
  2. Step 2: Convert to fraction form
    76,785/116,253 = 116,253/x
  3. Step 3: Cross multiply
    76,785x = 116,253 × 116,253
  4. Step 4: Simplify right side
    76,785x = 13,514,760,009
  5. Step 5: Solve for x
    x = 13,514,760,009/76,785
  6. Step 6: Final answer
    x = 176,007.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.