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Finding the Third Proportional to 76,548.38 and 164,170.13

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Solution

The third proportional to 76,548.38 and 164,170.13 is: 352,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548.38 : 164,170.13 = 164,170.13 : x
  2. Step 2: Convert to fraction form
    76,548.38/164,170.13 = 164,170.13/x
  3. Step 3: Cross multiply
    76,548.38x = 164,170.13 × 164,170.13
  4. Step 4: Simplify right side
    76,548.38x = 26,951,829,942.52
  5. Step 5: Solve for x
    x = 26,951,829,942.52/76,548.38
  6. Step 6: Final answer
    x = 352,088.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.