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Finding the Third Proportional to 61,097 and 134,620

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Solution

The third proportional to 61,097 and 134,620 is: 296,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097 : 134,620 = 134,620 : x
  2. Step 2: Convert to fraction form
    61,097/134,620 = 134,620/x
  3. Step 3: Cross multiply
    61,097x = 134,620 × 134,620
  4. Step 4: Simplify right side
    61,097x = 18,122,544,400
  5. Step 5: Solve for x
    x = 18,122,544,400/61,097
  6. Step 6: Final answer
    x = 296,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.