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Finding the Third Proportional to 54,543 and 83,807

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Solution

The third proportional to 54,543 and 83,807 is: 128,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,543 : 83,807 = 83,807 : x
  2. Step 2: Convert to fraction form
    54,543/83,807 = 83,807/x
  3. Step 3: Cross multiply
    54,543x = 83,807 × 83,807
  4. Step 4: Simplify right side
    54,543x = 7,023,613,249
  5. Step 5: Solve for x
    x = 7,023,613,249/54,543
  6. Step 6: Final answer
    x = 128,772.04

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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.