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Finding the Third Proportional to 117,565 and 182,098

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Solution

The third proportional to 117,565 and 182,098 is: 282,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565 : 182,098 = 182,098 : x
  2. Step 2: Convert to fraction form
    117,565/182,098 = 182,098/x
  3. Step 3: Cross multiply
    117,565x = 182,098 × 182,098
  4. Step 4: Simplify right side
    117,565x = 33,159,681,604
  5. Step 5: Solve for x
    x = 33,159,681,604/117,565
  6. Step 6: Final answer
    x = 282,054.03

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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.