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Finding the Third Proportional to 118,132 and 181,573

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Solution

The third proportional to 118,132 and 181,573 is: 279,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,132 : 181,573 = 181,573 : x
  2. Step 2: Convert to fraction form
    118,132/181,573 = 181,573/x
  3. Step 3: Cross multiply
    118,132x = 181,573 × 181,573
  4. Step 4: Simplify right side
    118,132x = 32,968,754,329
  5. Step 5: Solve for x
    x = 32,968,754,329/118,132
  6. Step 6: Final answer
    x = 279,084.03

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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.