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Finding the Third Proportional to 63,178 and 136,197

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Solution

The third proportional to 63,178 and 136,197 is: 293,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,178 : 136,197 = 136,197 : x
  2. Step 2: Convert to fraction form
    63,178/136,197 = 136,197/x
  3. Step 3: Cross multiply
    63,178x = 136,197 × 136,197
  4. Step 4: Simplify right side
    63,178x = 18,549,622,809
  5. Step 5: Solve for x
    x = 18,549,622,809/63,178
  6. Step 6: Final answer
    x = 293,608.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.