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Finding the Third Proportional to 63,708 and 136,158

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Solution

The third proportional to 63,708 and 136,158 is: 290,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,708 : 136,158 = 136,158 : x
  2. Step 2: Convert to fraction form
    63,708/136,158 = 136,158/x
  3. Step 3: Cross multiply
    63,708x = 136,158 × 136,158
  4. Step 4: Simplify right side
    63,708x = 18,539,000,964
  5. Step 5: Solve for x
    x = 18,539,000,964/63,708
  6. Step 6: Final answer
    x = 290,999.58

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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.