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Finding the Third Proportional to 44,064 and 67,126.50

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Solution

The third proportional to 44,064 and 67,126.50 is: 102,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,064 : 67,126.50 = 67,126.50 : x
  2. Step 2: Convert to fraction form
    44,064/67,126.50 = 67,126.50/x
  3. Step 3: Cross multiply
    44,064x = 67,126.50 × 67,126.50
  4. Step 4: Simplify right side
    44,064x = 4,505,967,002.25
  5. Step 5: Solve for x
    x = 4,505,967,002.25/44,064
  6. Step 6: Final answer
    x = 102,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.