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Finding the Third Proportional to 75,078 and 165,276

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Solution

The third proportional to 75,078 and 165,276 is: 363,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078 : 165,276 = 165,276 : x
  2. Step 2: Convert to fraction form
    75,078/165,276 = 165,276/x
  3. Step 3: Cross multiply
    75,078x = 165,276 × 165,276
  4. Step 4: Simplify right side
    75,078x = 27,316,156,176
  5. Step 5: Solve for x
    x = 27,316,156,176/75,078
  6. Step 6: Final answer
    x = 363,837.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.