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Finding the Third Proportional to 74,496 and 116,544

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Solution

The third proportional to 74,496 and 116,544 is: 182,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496 : 116,544 = 116,544 : x
  2. Step 2: Convert to fraction form
    74,496/116,544 = 116,544/x
  3. Step 3: Cross multiply
    74,496x = 116,544 × 116,544
  4. Step 4: Simplify right side
    74,496x = 13,582,503,936
  5. Step 5: Solve for x
    x = 13,582,503,936/74,496
  6. Step 6: Final answer
    x = 182,325.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.