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Finding the Third Proportional to 65,422 and 141,206

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Solution

The third proportional to 65,422 and 141,206 is: 304,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,422 : 141,206 = 141,206 : x
  2. Step 2: Convert to fraction form
    65,422/141,206 = 141,206/x
  3. Step 3: Cross multiply
    65,422x = 141,206 × 141,206
  4. Step 4: Simplify right side
    65,422x = 19,939,134,436
  5. Step 5: Solve for x
    x = 19,939,134,436/65,422
  6. Step 6: Final answer
    x = 304,777.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.