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Finding the Third Proportional to 101,490 and 152,241

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Solution

The third proportional to 101,490 and 152,241 is: 228,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,490 : 152,241 = 152,241 : x
  2. Step 2: Convert to fraction form
    101,490/152,241 = 152,241/x
  3. Step 3: Cross multiply
    101,490x = 152,241 × 152,241
  4. Step 4: Simplify right side
    101,490x = 23,177,322,081
  5. Step 5: Solve for x
    x = 23,177,322,081/101,490
  6. Step 6: Final answer
    x = 228,370.50

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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.