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Finding the Third Proportional to 64,656 and 135,630

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Solution

The third proportional to 64,656 and 135,630 is: 284,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,656 : 135,630 = 135,630 : x
  2. Step 2: Convert to fraction form
    64,656/135,630 = 135,630/x
  3. Step 3: Cross multiply
    64,656x = 135,630 × 135,630
  4. Step 4: Simplify right side
    64,656x = 18,395,496,900
  5. Step 5: Solve for x
    x = 18,395,496,900/64,656
  6. Step 6: Final answer
    x = 284,513.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.