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Finding the Third Proportional to 48,945 and 94,000.50

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Solution

The third proportional to 48,945 and 94,000.50 is: 180,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,945 : 94,000.50 = 94,000.50 : x
  2. Step 2: Convert to fraction form
    48,945/94,000.50 = 94,000.50/x
  3. Step 3: Cross multiply
    48,945x = 94,000.50 × 94,000.50
  4. Step 4: Simplify right side
    48,945x = 8,836,094,000.25
  5. Step 5: Solve for x
    x = 8,836,094,000.25/48,945
  6. Step 6: Final answer
    x = 180,531.09

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.