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Finding the Third Proportional to 45,652 and 100,052

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Solution

The third proportional to 45,652 and 100,052 is: 219,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,652 : 100,052 = 100,052 : x
  2. Step 2: Convert to fraction form
    45,652/100,052 = 100,052/x
  3. Step 3: Cross multiply
    45,652x = 100,052 × 100,052
  4. Step 4: Simplify right side
    45,652x = 10,010,402,704
  5. Step 5: Solve for x
    x = 10,010,402,704/45,652
  6. Step 6: Final answer
    x = 219,276.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.