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Finding the Third Proportional to 101,436 and 152,173

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Solution

The third proportional to 101,436 and 152,173 is: 228,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,436 : 152,173 = 152,173 : x
  2. Step 2: Convert to fraction form
    101,436/152,173 = 152,173/x
  3. Step 3: Cross multiply
    101,436x = 152,173 × 152,173
  4. Step 4: Simplify right side
    101,436x = 23,156,621,929
  5. Step 5: Solve for x
    x = 23,156,621,929/101,436
  6. Step 6: Final answer
    x = 228,288.00

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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.