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Finding the Third Proportional to 49,137 and 74,114

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Solution

The third proportional to 49,137 and 74,114 is: 111,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,137 : 74,114 = 74,114 : x
  2. Step 2: Convert to fraction form
    49,137/74,114 = 74,114/x
  3. Step 3: Cross multiply
    49,137x = 74,114 × 74,114
  4. Step 4: Simplify right side
    49,137x = 5,492,884,996
  5. Step 5: Solve for x
    x = 5,492,884,996/49,137
  6. Step 6: Final answer
    x = 111,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.