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Finding the Third Proportional to 114,945 and 153,408

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Solution

The third proportional to 114,945 and 153,408 is: 204,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,945 : 153,408 = 153,408 : x
  2. Step 2: Convert to fraction form
    114,945/153,408 = 153,408/x
  3. Step 3: Cross multiply
    114,945x = 153,408 × 153,408
  4. Step 4: Simplify right side
    114,945x = 23,534,014,464
  5. Step 5: Solve for x
    x = 23,534,014,464/114,945
  6. Step 6: Final answer
    x = 204,741.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.