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Finding the Third Proportional to 74,759 and 114,327

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Solution

The third proportional to 74,759 and 114,327 is: 174,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,759 : 114,327 = 114,327 : x
  2. Step 2: Convert to fraction form
    74,759/114,327 = 114,327/x
  3. Step 3: Cross multiply
    74,759x = 114,327 × 114,327
  4. Step 4: Simplify right side
    74,759x = 13,070,662,929
  5. Step 5: Solve for x
    x = 13,070,662,929/74,759
  6. Step 6: Final answer
    x = 174,837.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.