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Finding the Third Proportional to 91,408 and 138,084

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Solution

The third proportional to 91,408 and 138,084 is: 208,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,408 : 138,084 = 138,084 : x
  2. Step 2: Convert to fraction form
    91,408/138,084 = 138,084/x
  3. Step 3: Cross multiply
    91,408x = 138,084 × 138,084
  4. Step 4: Simplify right side
    91,408x = 19,067,191,056
  5. Step 5: Solve for x
    x = 19,067,191,056/91,408
  6. Step 6: Final answer
    x = 208,594.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.