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Finding the Third Proportional to 84,440 and 113,676

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Solution

The third proportional to 84,440 and 113,676 is: 153,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,440 : 113,676 = 113,676 : x
  2. Step 2: Convert to fraction form
    84,440/113,676 = 113,676/x
  3. Step 3: Cross multiply
    84,440x = 113,676 × 113,676
  4. Step 4: Simplify right side
    84,440x = 12,922,232,976
  5. Step 5: Solve for x
    x = 12,922,232,976/84,440
  6. Step 6: Final answer
    x = 153,034.50

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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.