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Finding the Third Proportional to 74,732 and 114,268

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Solution

The third proportional to 74,732 and 114,268 is: 174,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,732 : 114,268 = 114,268 : x
  2. Step 2: Convert to fraction form
    74,732/114,268 = 114,268/x
  3. Step 3: Cross multiply
    74,732x = 114,268 × 114,268
  4. Step 4: Simplify right side
    74,732x = 13,057,175,824
  5. Step 5: Solve for x
    x = 13,057,175,824/74,732
  6. Step 6: Final answer
    x = 174,720.01

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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.