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Finding the Third Proportional to 54,425 and 84,064.63

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Solution

The third proportional to 54,425 and 84,064.63 is: 129,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,425 : 84,064.63 = 84,064.63 : x
  2. Step 2: Convert to fraction form
    54,425/84,064.63 = 84,064.63/x
  3. Step 3: Cross multiply
    54,425x = 84,064.63 × 84,064.63
  4. Step 4: Simplify right side
    54,425x = 7,066,861,176.39
  5. Step 5: Solve for x
    x = 7,066,861,176.39/54,425
  6. Step 6: Final answer
    x = 129,845.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.