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Finding the Third Proportional to 48,172.50 and 74,137.50

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Solution

The third proportional to 48,172.50 and 74,137.50 is: 114,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,172.50 : 74,137.50 = 74,137.50 : x
  2. Step 2: Convert to fraction form
    48,172.50/74,137.50 = 74,137.50/x
  3. Step 3: Cross multiply
    48,172.50x = 74,137.50 × 74,137.50
  4. Step 4: Simplify right side
    48,172.50x = 5,496,368,906.25
  5. Step 5: Solve for x
    x = 5,496,368,906.25/48,172.50
  6. Step 6: Final answer
    x = 114,097.65

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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.