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Finding the Third Proportional to 42,690 and 93,696

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Solution

The third proportional to 42,690 and 93,696 is: 205,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,690 : 93,696 = 93,696 : x
  2. Step 2: Convert to fraction form
    42,690/93,696 = 93,696/x
  3. Step 3: Cross multiply
    42,690x = 93,696 × 93,696
  4. Step 4: Simplify right side
    42,690x = 8,778,940,416
  5. Step 5: Solve for x
    x = 8,778,940,416/42,690
  6. Step 6: Final answer
    x = 205,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.