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Finding the Third Proportional to 48,665 and 92,241.50

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Solution

The third proportional to 48,665 and 92,241.50 is: 174,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,665 : 92,241.50 = 92,241.50 : x
  2. Step 2: Convert to fraction form
    48,665/92,241.50 = 92,241.50/x
  3. Step 3: Cross multiply
    48,665x = 92,241.50 × 92,241.50
  4. Step 4: Simplify right side
    48,665x = 8,508,494,322.25
  5. Step 5: Solve for x
    x = 8,508,494,322.25/48,665
  6. Step 6: Final answer
    x = 174,838.06

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.