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Finding the Third Proportional to 78,078 and 165,882

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Solution

The third proportional to 78,078 and 165,882 is: 352,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078 : 165,882 = 165,882 : x
  2. Step 2: Convert to fraction form
    78,078/165,882 = 165,882/x
  3. Step 3: Cross multiply
    78,078x = 165,882 × 165,882
  4. Step 4: Simplify right side
    78,078x = 27,516,837,924
  5. Step 5: Solve for x
    x = 27,516,837,924/78,078
  6. Step 6: Final answer
    x = 352,427.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.