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Finding the Third Proportional to 63,210 and 135,714

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Solution

The third proportional to 63,210 and 135,714 is: 291,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,210 : 135,714 = 135,714 : x
  2. Step 2: Convert to fraction form
    63,210/135,714 = 135,714/x
  3. Step 3: Cross multiply
    63,210x = 135,714 × 135,714
  4. Step 4: Simplify right side
    63,210x = 18,418,289,796
  5. Step 5: Solve for x
    x = 18,418,289,796/63,210
  6. Step 6: Final answer
    x = 291,382.53

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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.