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Finding the Third Proportional to 113,613 and 159,301

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Solution

The third proportional to 113,613 and 159,301 is: 223,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,613 : 159,301 = 159,301 : x
  2. Step 2: Convert to fraction form
    113,613/159,301 = 159,301/x
  3. Step 3: Cross multiply
    113,613x = 159,301 × 159,301
  4. Step 4: Simplify right side
    113,613x = 25,376,808,601
  5. Step 5: Solve for x
    x = 25,376,808,601/113,613
  6. Step 6: Final answer
    x = 223,361.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.