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Finding the Third Proportional to 63,164 and 135,886

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Solution

The third proportional to 63,164 and 135,886 is: 292,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,164 : 135,886 = 135,886 : x
  2. Step 2: Convert to fraction form
    63,164/135,886 = 135,886/x
  3. Step 3: Cross multiply
    63,164x = 135,886 × 135,886
  4. Step 4: Simplify right side
    63,164x = 18,465,004,996
  5. Step 5: Solve for x
    x = 18,465,004,996/63,164
  6. Step 6: Final answer
    x = 292,334.32

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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.