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Finding the Third Proportional to 75,222 and 118,998

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Solution

The third proportional to 75,222 and 118,998 is: 188,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222 : 118,998 = 118,998 : x
  2. Step 2: Convert to fraction form
    75,222/118,998 = 118,998/x
  3. Step 3: Cross multiply
    75,222x = 118,998 × 118,998
  4. Step 4: Simplify right side
    75,222x = 14,160,524,004
  5. Step 5: Solve for x
    x = 14,160,524,004/75,222
  6. Step 6: Final answer
    x = 188,249.77

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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.