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Finding the Third Proportional to 75,646 and 162,963

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Solution

The third proportional to 75,646 and 162,963 is: 351,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,646 : 162,963 = 162,963 : x
  2. Step 2: Convert to fraction form
    75,646/162,963 = 162,963/x
  3. Step 3: Cross multiply
    75,646x = 162,963 × 162,963
  4. Step 4: Simplify right side
    75,646x = 26,556,939,369
  5. Step 5: Solve for x
    x = 26,556,939,369/75,646
  6. Step 6: Final answer
    x = 351,068.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.