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Finding the Third Proportional to 123,113 and 201,012

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Solution

The third proportional to 123,113 and 201,012 is: 328,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,113 : 201,012 = 201,012 : x
  2. Step 2: Convert to fraction form
    123,113/201,012 = 201,012/x
  3. Step 3: Cross multiply
    123,113x = 201,012 × 201,012
  4. Step 4: Simplify right side
    123,113x = 40,405,824,144
  5. Step 5: Solve for x
    x = 40,405,824,144/123,113
  6. Step 6: Final answer
    x = 328,201.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.