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Finding the Third Proportional to 30,304 and 62,111

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Solution

The third proportional to 30,304 and 62,111 is: 127,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304 : 62,111 = 62,111 : x
  2. Step 2: Convert to fraction form
    30,304/62,111 = 62,111/x
  3. Step 3: Cross multiply
    30,304x = 62,111 × 62,111
  4. Step 4: Simplify right side
    30,304x = 3,857,776,321
  5. Step 5: Solve for x
    x = 3,857,776,321/30,304
  6. Step 6: Final answer
    x = 127,302.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.