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Finding the Third Proportional to 54,214.50 and 84,600.63

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Solution

The third proportional to 54,214.50 and 84,600.63 is: 132,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.50 : 84,600.63 = 84,600.63 : x
  2. Step 2: Convert to fraction form
    54,214.50/84,600.63 = 84,600.63/x
  3. Step 3: Cross multiply
    54,214.50x = 84,600.63 × 84,600.63
  4. Step 4: Simplify right side
    54,214.50x = 7,157,265,750.39
  5. Step 5: Solve for x
    x = 7,157,265,750.39/54,214.50
  6. Step 6: Final answer
    x = 132,017.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.