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Finding the Third Proportional to 45,304 and 59,204

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Solution

The third proportional to 45,304 and 59,204 is: 77,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,304 : 59,204 = 59,204 : x
  2. Step 2: Convert to fraction form
    45,304/59,204 = 59,204/x
  3. Step 3: Cross multiply
    45,304x = 59,204 × 59,204
  4. Step 4: Simplify right side
    45,304x = 3,505,113,616
  5. Step 5: Solve for x
    x = 3,505,113,616/45,304
  6. Step 6: Final answer
    x = 77,368.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.