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Finding the Third Proportional to 118,160 and 181,621

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Solution

The third proportional to 118,160 and 181,621 is: 279,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,160 : 181,621 = 181,621 : x
  2. Step 2: Convert to fraction form
    118,160/181,621 = 181,621/x
  3. Step 3: Cross multiply
    118,160x = 181,621 × 181,621
  4. Step 4: Simplify right side
    118,160x = 32,986,187,641
  5. Step 5: Solve for x
    x = 32,986,187,641/118,160
  6. Step 6: Final answer
    x = 279,165.43

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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.