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Finding the Third Proportional to 63,119 and 136,967

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Solution

The third proportional to 63,119 and 136,967 is: 297,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,119 : 136,967 = 136,967 : x
  2. Step 2: Convert to fraction form
    63,119/136,967 = 136,967/x
  3. Step 3: Cross multiply
    63,119x = 136,967 × 136,967
  4. Step 4: Simplify right side
    63,119x = 18,759,959,089
  5. Step 5: Solve for x
    x = 18,759,959,089/63,119
  6. Step 6: Final answer
    x = 297,215.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.