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Finding the Third Proportional to 65,253 and 136,134

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Solution

The third proportional to 65,253 and 136,134 is: 284,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253 : 136,134 = 136,134 : x
  2. Step 2: Convert to fraction form
    65,253/136,134 = 136,134/x
  3. Step 3: Cross multiply
    65,253x = 136,134 × 136,134
  4. Step 4: Simplify right side
    65,253x = 18,532,465,956
  5. Step 5: Solve for x
    x = 18,532,465,956/65,253
  6. Step 6: Final answer
    x = 284,009.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.