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Finding the Third Proportional to 51,969 and 74,304

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Solution

The third proportional to 51,969 and 74,304 is: 106,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969 : 74,304 = 74,304 : x
  2. Step 2: Convert to fraction form
    51,969/74,304 = 74,304/x
  3. Step 3: Cross multiply
    51,969x = 74,304 × 74,304
  4. Step 4: Simplify right side
    51,969x = 5,521,084,416
  5. Step 5: Solve for x
    x = 5,521,084,416/51,969
  6. Step 6: Final answer
    x = 106,238.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.