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Finding the Third Proportional to 105,990 and 153,270

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Solution

The third proportional to 105,990 and 153,270 is: 221,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990 : 153,270 = 153,270 : x
  2. Step 2: Convert to fraction form
    105,990/153,270 = 153,270/x
  3. Step 3: Cross multiply
    105,990x = 153,270 × 153,270
  4. Step 4: Simplify right side
    105,990x = 23,491,692,900
  5. Step 5: Solve for x
    x = 23,491,692,900/105,990
  6. Step 6: Final answer
    x = 221,640.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.