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Finding the Third Proportional to 63,174.38 and 136,190.25

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Solution

The third proportional to 63,174.38 and 136,190.25 is: 293,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,174.38 : 136,190.25 = 136,190.25 : x
  2. Step 2: Convert to fraction form
    63,174.38/136,190.25 = 136,190.25/x
  3. Step 3: Cross multiply
    63,174.38x = 136,190.25 × 136,190.25
  4. Step 4: Simplify right side
    63,174.38x = 18,547,784,195.06
  5. Step 5: Solve for x
    x = 18,547,784,195.06/63,174.38
  6. Step 6: Final answer
    x = 293,596.64

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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.