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Finding the Third Proportional to 103,932 and 152,010

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Solution

The third proportional to 103,932 and 152,010 is: 222,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,932 : 152,010 = 152,010 : x
  2. Step 2: Convert to fraction form
    103,932/152,010 = 152,010/x
  3. Step 3: Cross multiply
    103,932x = 152,010 × 152,010
  4. Step 4: Simplify right side
    103,932x = 23,107,040,100
  5. Step 5: Solve for x
    x = 23,107,040,100/103,932
  6. Step 6: Final answer
    x = 222,328.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.