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Finding the Third Proportional to 63,207 and 135,410

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Solution

The third proportional to 63,207 and 135,410 is: 290,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,207 : 135,410 = 135,410 : x
  2. Step 2: Convert to fraction form
    63,207/135,410 = 135,410/x
  3. Step 3: Cross multiply
    63,207x = 135,410 × 135,410
  4. Step 4: Simplify right side
    63,207x = 18,335,868,100
  5. Step 5: Solve for x
    x = 18,335,868,100/63,207
  6. Step 6: Final answer
    x = 290,092.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.