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Finding the Third Proportional to 117,894 and 182,553

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Solution

The third proportional to 117,894 and 182,553 is: 282,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,894 : 182,553 = 182,553 : x
  2. Step 2: Convert to fraction form
    117,894/182,553 = 182,553/x
  3. Step 3: Cross multiply
    117,894x = 182,553 × 182,553
  4. Step 4: Simplify right side
    117,894x = 33,325,597,809
  5. Step 5: Solve for x
    x = 33,325,597,809/117,894
  6. Step 6: Final answer
    x = 282,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.