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Finding the Third Proportional to 84,442 and 113,679

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Solution

The third proportional to 84,442 and 113,679 is: 153,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,442 : 113,679 = 113,679 : x
  2. Step 2: Convert to fraction form
    84,442/113,679 = 113,679/x
  3. Step 3: Cross multiply
    84,442x = 113,679 × 113,679
  4. Step 4: Simplify right side
    84,442x = 12,922,915,041
  5. Step 5: Solve for x
    x = 12,922,915,041/84,442
  6. Step 6: Final answer
    x = 153,038.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.