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Finding the Third Proportional to 64,050.75 and 140,555.25

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Solution

The third proportional to 64,050.75 and 140,555.25 is: 308,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050.75 : 140,555.25 = 140,555.25 : x
  2. Step 2: Convert to fraction form
    64,050.75/140,555.25 = 140,555.25/x
  3. Step 3: Cross multiply
    64,050.75x = 140,555.25 × 140,555.25
  4. Step 4: Simplify right side
    64,050.75x = 19,755,778,302.56
  5. Step 5: Solve for x
    x = 19,755,778,302.56/64,050.75
  6. Step 6: Final answer
    x = 308,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.