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Finding the Third Proportional to 65,288 and 136,252

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Solution

The third proportional to 65,288 and 136,252 is: 284,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288 : 136,252 = 136,252 : x
  2. Step 2: Convert to fraction form
    65,288/136,252 = 136,252/x
  3. Step 3: Cross multiply
    65,288x = 136,252 × 136,252
  4. Step 4: Simplify right side
    65,288x = 18,564,607,504
  5. Step 5: Solve for x
    x = 18,564,607,504/65,288
  6. Step 6: Final answer
    x = 284,349.46

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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.