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Finding the Third Proportional to 118,398 and 181,122

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Solution

The third proportional to 118,398 and 181,122 is: 277,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,398 : 181,122 = 181,122 : x
  2. Step 2: Convert to fraction form
    118,398/181,122 = 181,122/x
  3. Step 3: Cross multiply
    118,398x = 181,122 × 181,122
  4. Step 4: Simplify right side
    118,398x = 32,805,178,884
  5. Step 5: Solve for x
    x = 32,805,178,884/118,398
  6. Step 6: Final answer
    x = 277,075.45

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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.