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Finding the Third Proportional to 99,180 and 148,770

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Solution

The third proportional to 99,180 and 148,770 is: 223,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,180 : 148,770 = 148,770 : x
  2. Step 2: Convert to fraction form
    99,180/148,770 = 148,770/x
  3. Step 3: Cross multiply
    99,180x = 148,770 × 148,770
  4. Step 4: Simplify right side
    99,180x = 22,132,512,900
  5. Step 5: Solve for x
    x = 22,132,512,900/99,180
  6. Step 6: Final answer
    x = 223,155

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.