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Finding the Third Proportional to 30,134 and 65,554

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Solution

The third proportional to 30,134 and 65,554 is: 142,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134 : 65,554 = 65,554 : x
  2. Step 2: Convert to fraction form
    30,134/65,554 = 65,554/x
  3. Step 3: Cross multiply
    30,134x = 65,554 × 65,554
  4. Step 4: Simplify right side
    30,134x = 4,297,326,916
  5. Step 5: Solve for x
    x = 4,297,326,916/30,134
  6. Step 6: Final answer
    x = 142,607.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.