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Finding the Third Proportional to 121,181 and 201,264

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Solution

The third proportional to 121,181 and 201,264 is: 334,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,181 : 201,264 = 201,264 : x
  2. Step 2: Convert to fraction form
    121,181/201,264 = 201,264/x
  3. Step 3: Cross multiply
    121,181x = 201,264 × 201,264
  4. Step 4: Simplify right side
    121,181x = 40,507,197,696
  5. Step 5: Solve for x
    x = 40,507,197,696/121,181
  6. Step 6: Final answer
    x = 334,270.20

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.