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Finding the Third Proportional to 135,492 and 201,279

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Solution

The third proportional to 135,492 and 201,279 is: 299,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,492 : 201,279 = 201,279 : x
  2. Step 2: Convert to fraction form
    135,492/201,279 = 201,279/x
  3. Step 3: Cross multiply
    135,492x = 201,279 × 201,279
  4. Step 4: Simplify right side
    135,492x = 40,513,235,841
  5. Step 5: Solve for x
    x = 40,513,235,841/135,492
  6. Step 6: Final answer
    x = 299,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.