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Finding the Third Proportional to 45,646 and 68,289

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Solution

The third proportional to 45,646 and 68,289 is: 102,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646 : 68,289 = 68,289 : x
  2. Step 2: Convert to fraction form
    45,646/68,289 = 68,289/x
  3. Step 3: Cross multiply
    45,646x = 68,289 × 68,289
  4. Step 4: Simplify right side
    45,646x = 4,663,387,521
  5. Step 5: Solve for x
    x = 4,663,387,521/45,646
  6. Step 6: Final answer
    x = 102,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.