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Finding the Third Proportional to 54,541 and 83,804

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Solution

The third proportional to 54,541 and 83,804 is: 128,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,541 : 83,804 = 83,804 : x
  2. Step 2: Convert to fraction form
    54,541/83,804 = 83,804/x
  3. Step 3: Cross multiply
    54,541x = 83,804 × 83,804
  4. Step 4: Simplify right side
    54,541x = 7,023,110,416
  5. Step 5: Solve for x
    x = 7,023,110,416/54,541
  6. Step 6: Final answer
    x = 128,767.54

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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.