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Finding the Third Proportional to 83,283.75 and 118,696

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Solution

The third proportional to 83,283.75 and 118,696 is: 169,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.75 : 118,696 = 118,696 : x
  2. Step 2: Convert to fraction form
    83,283.75/118,696 = 118,696/x
  3. Step 3: Cross multiply
    83,283.75x = 118,696 × 118,696
  4. Step 4: Simplify right side
    83,283.75x = 14,088,740,416
  5. Step 5: Solve for x
    x = 14,088,740,416/83,283.75
  6. Step 6: Final answer
    x = 169,165.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.