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Finding the Third Proportional to 94,064 and 125,400

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Solution

The third proportional to 94,064 and 125,400 is: 167,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,064 : 125,400 = 125,400 : x
  2. Step 2: Convert to fraction form
    94,064/125,400 = 125,400/x
  3. Step 3: Cross multiply
    94,064x = 125,400 × 125,400
  4. Step 4: Simplify right side
    94,064x = 15,725,160,000
  5. Step 5: Solve for x
    x = 15,725,160,000/94,064
  6. Step 6: Final answer
    x = 167,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.