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Finding the Third Proportional to 61,094 and 129,424

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Solution

The third proportional to 61,094 and 129,424 is: 274,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,094 : 129,424 = 129,424 : x
  2. Step 2: Convert to fraction form
    61,094/129,424 = 129,424/x
  3. Step 3: Cross multiply
    61,094x = 129,424 × 129,424
  4. Step 4: Simplify right side
    61,094x = 16,750,571,776
  5. Step 5: Solve for x
    x = 16,750,571,776/61,094
  6. Step 6: Final answer
    x = 274,177.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.