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Finding the Third Proportional to 61,168 and 93,696

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Solution

The third proportional to 61,168 and 93,696 is: 143,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,168 : 93,696 = 93,696 : x
  2. Step 2: Convert to fraction form
    61,168/93,696 = 93,696/x
  3. Step 3: Cross multiply
    61,168x = 93,696 × 93,696
  4. Step 4: Simplify right side
    61,168x = 8,778,940,416
  5. Step 5: Solve for x
    x = 8,778,940,416/61,168
  6. Step 6: Final answer
    x = 143,521.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.