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Finding the Third Proportional to 63,064 and 135,695

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Solution

The third proportional to 63,064 and 135,695 is: 291,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,064 : 135,695 = 135,695 : x
  2. Step 2: Convert to fraction form
    63,064/135,695 = 135,695/x
  3. Step 3: Cross multiply
    63,064x = 135,695 × 135,695
  4. Step 4: Simplify right side
    63,064x = 18,413,133,025
  5. Step 5: Solve for x
    x = 18,413,133,025/63,064
  6. Step 6: Final answer
    x = 291,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.