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Finding the Third Proportional to 133,341.75 and 179,613

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Solution

The third proportional to 133,341.75 and 179,613 is: 241,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341.75 : 179,613 = 179,613 : x
  2. Step 2: Convert to fraction form
    133,341.75/179,613 = 179,613/x
  3. Step 3: Cross multiply
    133,341.75x = 179,613 × 179,613
  4. Step 4: Simplify right side
    133,341.75x = 32,260,829,769
  5. Step 5: Solve for x
    x = 32,260,829,769/133,341.75
  6. Step 6: Final answer
    x = 241,940.95

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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.