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Finding the Third Proportional to 63,914 and 136,588

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Solution

The third proportional to 63,914 and 136,588 is: 291,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,914 : 136,588 = 136,588 : x
  2. Step 2: Convert to fraction form
    63,914/136,588 = 136,588/x
  3. Step 3: Cross multiply
    63,914x = 136,588 × 136,588
  4. Step 4: Simplify right side
    63,914x = 18,656,281,744
  5. Step 5: Solve for x
    x = 18,656,281,744/63,914
  6. Step 6: Final answer
    x = 291,896.64

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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.