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Finding the Third Proportional to 49,158 and 74,143.50

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Solution

The third proportional to 49,158 and 74,143.50 is: 111,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 74,143.50 = 74,143.50 : x
  2. Step 2: Convert to fraction form
    49,158/74,143.50 = 74,143.50/x
  3. Step 3: Cross multiply
    49,158x = 74,143.50 × 74,143.50
  4. Step 4: Simplify right side
    49,158x = 5,497,258,592.25
  5. Step 5: Solve for x
    x = 5,497,258,592.25/49,158
  6. Step 6: Final answer
    x = 111,828.36

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