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Finding the Third Proportional to 76,171 and 165,053

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Solution

The third proportional to 76,171 and 165,053 is: 357,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,171 : 165,053 = 165,053 : x
  2. Step 2: Convert to fraction form
    76,171/165,053 = 165,053/x
  3. Step 3: Cross multiply
    76,171x = 165,053 × 165,053
  4. Step 4: Simplify right side
    76,171x = 27,242,492,809
  5. Step 5: Solve for x
    x = 27,242,492,809/76,171
  6. Step 6: Final answer
    x = 357,649.14

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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.