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Finding the Third Proportional to 49,848 and 74,056

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Solution

The third proportional to 49,848 and 74,056 is: 110,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,848 : 74,056 = 74,056 : x
  2. Step 2: Convert to fraction form
    49,848/74,056 = 74,056/x
  3. Step 3: Cross multiply
    49,848x = 74,056 × 74,056
  4. Step 4: Simplify right side
    49,848x = 5,484,291,136
  5. Step 5: Solve for x
    x = 5,484,291,136/49,848
  6. Step 6: Final answer
    x = 110,020.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.