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Finding the Third Proportional to 64,627 and 141,282

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Solution

The third proportional to 64,627 and 141,282 is: 308,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,627 : 141,282 = 141,282 : x
  2. Step 2: Convert to fraction form
    64,627/141,282 = 141,282/x
  3. Step 3: Cross multiply
    64,627x = 141,282 × 141,282
  4. Step 4: Simplify right side
    64,627x = 19,960,603,524
  5. Step 5: Solve for x
    x = 19,960,603,524/64,627
  6. Step 6: Final answer
    x = 308,858.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.