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Finding the Third Proportional to 64,264 and 136,304

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Solution

The third proportional to 64,264 and 136,304 is: 289,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,264 : 136,304 = 136,304 : x
  2. Step 2: Convert to fraction form
    64,264/136,304 = 136,304/x
  3. Step 3: Cross multiply
    64,264x = 136,304 × 136,304
  4. Step 4: Simplify right side
    64,264x = 18,578,780,416
  5. Step 5: Solve for x
    x = 18,578,780,416/64,264
  6. Step 6: Final answer
    x = 289,100.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.