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Finding the Third Proportional to 75,159 and 118,924

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Solution

The third proportional to 75,159 and 118,924 is: 188,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,159 : 118,924 = 118,924 : x
  2. Step 2: Convert to fraction form
    75,159/118,924 = 118,924/x
  3. Step 3: Cross multiply
    75,159x = 118,924 × 118,924
  4. Step 4: Simplify right side
    75,159x = 14,142,917,776
  5. Step 5: Solve for x
    x = 14,142,917,776/75,159
  6. Step 6: Final answer
    x = 188,173.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.