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Finding the Third Proportional to 76,177.97 and 164,062.97

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Solution

The third proportional to 76,177.97 and 164,062.97 is: 353,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,177.97 : 164,062.97 = 164,062.97 : x
  2. Step 2: Convert to fraction form
    76,177.97/164,062.97 = 164,062.97/x
  3. Step 3: Cross multiply
    76,177.97x = 164,062.97 × 164,062.97
  4. Step 4: Simplify right side
    76,177.97x = 26,916,657,715.06
  5. Step 5: Solve for x
    x = 26,916,657,715.06/76,177.97
  6. Step 6: Final answer
    x = 353,339.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.