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Finding the Third Proportional to 50,887 and 74,507

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Solution

The third proportional to 50,887 and 74,507 is: 109,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887 : 74,507 = 74,507 : x
  2. Step 2: Convert to fraction form
    50,887/74,507 = 74,507/x
  3. Step 3: Cross multiply
    50,887x = 74,507 × 74,507
  4. Step 4: Simplify right side
    50,887x = 5,551,293,049
  5. Step 5: Solve for x
    x = 5,551,293,049/50,887
  6. Step 6: Final answer
    x = 109,090.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.