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Finding the Third Proportional to 117,792 and 181,988

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Solution

The third proportional to 117,792 and 181,988 is: 281,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792 : 181,988 = 181,988 : x
  2. Step 2: Convert to fraction form
    117,792/181,988 = 181,988/x
  3. Step 3: Cross multiply
    117,792x = 181,988 × 181,988
  4. Step 4: Simplify right side
    117,792x = 33,119,632,144
  5. Step 5: Solve for x
    x = 33,119,632,144/117,792
  6. Step 6: Final answer
    x = 281,170.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.