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Finding the Third Proportional to 63,031 and 134,405

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Solution

The third proportional to 63,031 and 134,405 is: 286,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,031 : 134,405 = 134,405 : x
  2. Step 2: Convert to fraction form
    63,031/134,405 = 134,405/x
  3. Step 3: Cross multiply
    63,031x = 134,405 × 134,405
  4. Step 4: Simplify right side
    63,031x = 18,064,704,025
  5. Step 5: Solve for x
    x = 18,064,704,025/63,031
  6. Step 6: Final answer
    x = 286,600.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.