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Finding the Third Proportional to 65,304 and 136,260

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Solution

The third proportional to 65,304 and 136,260 is: 284,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,304 : 136,260 = 136,260 : x
  2. Step 2: Convert to fraction form
    65,304/136,260 = 136,260/x
  3. Step 3: Cross multiply
    65,304x = 136,260 × 136,260
  4. Step 4: Simplify right side
    65,304x = 18,566,787,600
  5. Step 5: Solve for x
    x = 18,566,787,600/65,304
  6. Step 6: Final answer
    x = 284,313.18

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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.