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Finding the Third Proportional to 63,229.50 and 134,239.50

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Solution

The third proportional to 63,229.50 and 134,239.50 is: 284,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,229.50 : 134,239.50 = 134,239.50 : x
  2. Step 2: Convert to fraction form
    63,229.50/134,239.50 = 134,239.50/x
  3. Step 3: Cross multiply
    63,229.50x = 134,239.50 × 134,239.50
  4. Step 4: Simplify right side
    63,229.50x = 18,020,243,360.25
  5. Step 5: Solve for x
    x = 18,020,243,360.25/63,229.50
  6. Step 6: Final answer
    x = 284,997.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.