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Finding the Third Proportional to 63,691 and 134,967

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Solution

The third proportional to 63,691 and 134,967 is: 286,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,691 : 134,967 = 134,967 : x
  2. Step 2: Convert to fraction form
    63,691/134,967 = 134,967/x
  3. Step 3: Cross multiply
    63,691x = 134,967 × 134,967
  4. Step 4: Simplify right side
    63,691x = 18,216,091,089
  5. Step 5: Solve for x
    x = 18,216,091,089/63,691
  6. Step 6: Final answer
    x = 286,007.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.