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Finding the Third Proportional to 58,120 and 118,696

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Solution

The third proportional to 58,120 and 118,696 is: 242,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,120 : 118,696 = 118,696 : x
  2. Step 2: Convert to fraction form
    58,120/118,696 = 118,696/x
  3. Step 3: Cross multiply
    58,120x = 118,696 × 118,696
  4. Step 4: Simplify right side
    58,120x = 14,088,740,416
  5. Step 5: Solve for x
    x = 14,088,740,416/58,120
  6. Step 6: Final answer
    x = 242,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.