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Finding the Third Proportional to 52,002 and 110,202

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Solution

The third proportional to 52,002 and 110,202 is: 233,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002 : 110,202 = 110,202 : x
  2. Step 2: Convert to fraction form
    52,002/110,202 = 110,202/x
  3. Step 3: Cross multiply
    52,002x = 110,202 × 110,202
  4. Step 4: Simplify right side
    52,002x = 12,144,480,804
  5. Step 5: Solve for x
    x = 12,144,480,804/52,002
  6. Step 6: Final answer
    x = 233,538.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.