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Finding the Third Proportional to 45,304 and 65,256

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Solution

The third proportional to 45,304 and 65,256 is: 93,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304 : 65,256 = 65,256 : x
  2. Step 2: Convert to fraction form
    45,304/65,256 = 65,256/x
  3. Step 3: Cross multiply
    45,304x = 65,256 × 65,256
  4. Step 4: Simplify right side
    45,304x = 4,258,345,536
  5. Step 5: Solve for x
    x = 4,258,345,536/45,304
  6. Step 6: Final answer
    x = 93,994.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.