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Finding the Third Proportional to 54,901 and 74,575

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Solution

The third proportional to 54,901 and 74,575 is: 101,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901 : 74,575 = 74,575 : x
  2. Step 2: Convert to fraction form
    54,901/74,575 = 74,575/x
  3. Step 3: Cross multiply
    54,901x = 74,575 × 74,575
  4. Step 4: Simplify right side
    54,901x = 5,561,430,625
  5. Step 5: Solve for x
    x = 5,561,430,625/54,901
  6. Step 6: Final answer
    x = 101,299.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.