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Finding the Third Proportional to 48,208.50 and 74,145

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Solution

The third proportional to 48,208.50 and 74,145 is: 114,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208.50 : 74,145 = 74,145 : x
  2. Step 2: Convert to fraction form
    48,208.50/74,145 = 74,145/x
  3. Step 3: Cross multiply
    48,208.50x = 74,145 × 74,145
  4. Step 4: Simplify right side
    48,208.50x = 5,497,481,025
  5. Step 5: Solve for x
    x = 5,497,481,025/48,208.50
  6. Step 6: Final answer
    x = 114,035.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.