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Finding the Third Proportional to 61,078 and 130,219

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Solution

The third proportional to 61,078 and 130,219 is: 277,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,078 : 130,219 = 130,219 : x
  2. Step 2: Convert to fraction form
    61,078/130,219 = 130,219/x
  3. Step 3: Cross multiply
    61,078x = 130,219 × 130,219
  4. Step 4: Simplify right side
    61,078x = 16,956,987,961
  5. Step 5: Solve for x
    x = 16,956,987,961/61,078
  6. Step 6: Final answer
    x = 277,628.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.