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Finding the Third Proportional to 73,334 and 114,383

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Solution

The third proportional to 73,334 and 114,383 is: 178,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,334 : 114,383 = 114,383 : x
  2. Step 2: Convert to fraction form
    73,334/114,383 = 114,383/x
  3. Step 3: Cross multiply
    73,334x = 114,383 × 114,383
  4. Step 4: Simplify right side
    73,334x = 13,083,470,689
  5. Step 5: Solve for x
    x = 13,083,470,689/73,334
  6. Step 6: Final answer
    x = 178,409.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.