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Finding the Third Proportional to 76,044 and 165,468

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Solution

The third proportional to 76,044 and 165,468 is: 360,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,044 : 165,468 = 165,468 : x
  2. Step 2: Convert to fraction form
    76,044/165,468 = 165,468/x
  3. Step 3: Cross multiply
    76,044x = 165,468 × 165,468
  4. Step 4: Simplify right side
    76,044x = 27,379,659,024
  5. Step 5: Solve for x
    x = 27,379,659,024/76,044
  6. Step 6: Final answer
    x = 360,050.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.