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Finding the Third Proportional to 96,645 and 149,341

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Solution

The third proportional to 96,645 and 149,341 is: 230,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,645 : 149,341 = 149,341 : x
  2. Step 2: Convert to fraction form
    96,645/149,341 = 149,341/x
  3. Step 3: Cross multiply
    96,645x = 149,341 × 149,341
  4. Step 4: Simplify right side
    96,645x = 22,302,734,281
  5. Step 5: Solve for x
    x = 22,302,734,281/96,645
  6. Step 6: Final answer
    x = 230,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.