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Finding the Third Proportional to 75,790 and 118,627

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Solution

The third proportional to 75,790 and 118,627 is: 185,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790 : 118,627 = 118,627 : x
  2. Step 2: Convert to fraction form
    75,790/118,627 = 118,627/x
  3. Step 3: Cross multiply
    75,790x = 118,627 × 118,627
  4. Step 4: Simplify right side
    75,790x = 14,072,365,129
  5. Step 5: Solve for x
    x = 14,072,365,129/75,790
  6. Step 6: Final answer
    x = 185,675.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.