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Finding the Third Proportional to 63,514.13 and 114,999.75

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Solution

The third proportional to 63,514.13 and 114,999.75 is: 208,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,514.13 : 114,999.75 = 114,999.75 : x
  2. Step 2: Convert to fraction form
    63,514.13/114,999.75 = 114,999.75/x
  3. Step 3: Cross multiply
    63,514.13x = 114,999.75 × 114,999.75
  4. Step 4: Simplify right side
    63,514.13x = 13,224,942,500.06
  5. Step 5: Solve for x
    x = 13,224,942,500.06/63,514.13
  6. Step 6: Final answer
    x = 208,220.49

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.