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Finding the Third Proportional to 103,024 and 155,400

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Solution

The third proportional to 103,024 and 155,400 is: 234,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,024 : 155,400 = 155,400 : x
  2. Step 2: Convert to fraction form
    103,024/155,400 = 155,400/x
  3. Step 3: Cross multiply
    103,024x = 155,400 × 155,400
  4. Step 4: Simplify right side
    103,024x = 24,149,160,000
  5. Step 5: Solve for x
    x = 24,149,160,000/103,024
  6. Step 6: Final answer
    x = 234,403.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.