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Finding the Third Proportional to 74,056 and 105,823

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Solution

The third proportional to 74,056 and 105,823 is: 151,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056 : 105,823 = 105,823 : x
  2. Step 2: Convert to fraction form
    74,056/105,823 = 105,823/x
  3. Step 3: Cross multiply
    74,056x = 105,823 × 105,823
  4. Step 4: Simplify right side
    74,056x = 11,198,507,329
  5. Step 5: Solve for x
    x = 11,198,507,329/74,056
  6. Step 6: Final answer
    x = 151,216.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.