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Finding the Third Proportional to 54,548 and 83,408

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Solution

The third proportional to 54,548 and 83,408 is: 127,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548 : 83,408 = 83,408 : x
  2. Step 2: Convert to fraction form
    54,548/83,408 = 83,408/x
  3. Step 3: Cross multiply
    54,548x = 83,408 × 83,408
  4. Step 4: Simplify right side
    54,548x = 6,956,894,464
  5. Step 5: Solve for x
    x = 6,956,894,464/54,548
  6. Step 6: Final answer
    x = 127,537.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.