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Finding the Third Proportional to 76,070 and 165,016

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Solution

The third proportional to 76,070 and 165,016 is: 357,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,070 : 165,016 = 165,016 : x
  2. Step 2: Convert to fraction form
    76,070/165,016 = 165,016/x
  3. Step 3: Cross multiply
    76,070x = 165,016 × 165,016
  4. Step 4: Simplify right side
    76,070x = 27,230,280,256
  5. Step 5: Solve for x
    x = 27,230,280,256/76,070
  6. Step 6: Final answer
    x = 357,963.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.