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Finding the Third Proportional to 49,136 and 74,112

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Solution

The third proportional to 49,136 and 74,112 is: 111,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136 : 74,112 = 74,112 : x
  2. Step 2: Convert to fraction form
    49,136/74,112 = 74,112/x
  3. Step 3: Cross multiply
    49,136x = 74,112 × 74,112
  4. Step 4: Simplify right side
    49,136x = 5,492,588,544
  5. Step 5: Solve for x
    x = 5,492,588,544/49,136
  6. Step 6: Final answer
    x = 111,783.39

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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.