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Finding the Third Proportional to 75,163 and 118,929

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Solution

The third proportional to 75,163 and 118,929 is: 188,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,163 : 118,929 = 118,929 : x
  2. Step 2: Convert to fraction form
    75,163/118,929 = 118,929/x
  3. Step 3: Cross multiply
    75,163x = 118,929 × 118,929
  4. Step 4: Simplify right side
    75,163x = 14,144,107,041
  5. Step 5: Solve for x
    x = 14,144,107,041/75,163
  6. Step 6: Final answer
    x = 188,179.12

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