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Finding the Third Proportional to 30,304 and 62,128

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Solution

The third proportional to 30,304 and 62,128 is: 127,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304 : 62,128 = 62,128 : x
  2. Step 2: Convert to fraction form
    30,304/62,128 = 62,128/x
  3. Step 3: Cross multiply
    30,304x = 62,128 × 62,128
  4. Step 4: Simplify right side
    30,304x = 3,859,888,384
  5. Step 5: Solve for x
    x = 3,859,888,384/30,304
  6. Step 6: Final answer
    x = 127,372.24

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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.