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Finding the Third Proportional to 54,219.50 and 83,443

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Solution

The third proportional to 54,219.50 and 83,443 is: 128,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219.50 : 83,443 = 83,443 : x
  2. Step 2: Convert to fraction form
    54,219.50/83,443 = 83,443/x
  3. Step 3: Cross multiply
    54,219.50x = 83,443 × 83,443
  4. Step 4: Simplify right side
    54,219.50x = 6,962,734,249
  5. Step 5: Solve for x
    x = 6,962,734,249/54,219.50
  6. Step 6: Final answer
    x = 128,417.53

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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.