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Finding the Third Proportional to 76,160 and 165,031

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Solution

The third proportional to 76,160 and 165,031 is: 357,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,160 : 165,031 = 165,031 : x
  2. Step 2: Convert to fraction form
    76,160/165,031 = 165,031/x
  3. Step 3: Cross multiply
    76,160x = 165,031 × 165,031
  4. Step 4: Simplify right side
    76,160x = 27,235,230,961
  5. Step 5: Solve for x
    x = 27,235,230,961/76,160
  6. Step 6: Final answer
    x = 357,605.45

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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.