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Finding the Third Proportional to 61,094 and 134,614

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Solution

The third proportional to 61,094 and 134,614 is: 296,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,094 : 134,614 = 134,614 : x
  2. Step 2: Convert to fraction form
    61,094/134,614 = 134,614/x
  3. Step 3: Cross multiply
    61,094x = 134,614 × 134,614
  4. Step 4: Simplify right side
    61,094x = 18,120,928,996
  5. Step 5: Solve for x
    x = 18,120,928,996/61,094
  6. Step 6: Final answer
    x = 296,607.34

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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.