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Finding the Third Proportional to 113,194 and 153,182

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Solution

The third proportional to 113,194 and 153,182 is: 207,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194 : 153,182 = 153,182 : x
  2. Step 2: Convert to fraction form
    113,194/153,182 = 153,182/x
  3. Step 3: Cross multiply
    113,194x = 153,182 × 153,182
  4. Step 4: Simplify right side
    113,194x = 23,464,725,124
  5. Step 5: Solve for x
    x = 23,464,725,124/113,194
  6. Step 6: Final answer
    x = 207,296.55

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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.