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Finding the Third Proportional to 44,325 and 92,389.50

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Solution

The third proportional to 44,325 and 92,389.50 is: 192,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,325 : 92,389.50 = 92,389.50 : x
  2. Step 2: Convert to fraction form
    44,325/92,389.50 = 92,389.50/x
  3. Step 3: Cross multiply
    44,325x = 92,389.50 × 92,389.50
  4. Step 4: Simplify right side
    44,325x = 8,535,819,710.25
  5. Step 5: Solve for x
    x = 8,535,819,710.25/44,325
  6. Step 6: Final answer
    x = 192,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.