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Finding the Third Proportional to 61,055.25 and 130,175

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Solution

The third proportional to 61,055.25 and 130,175 is: 277,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,055.25 : 130,175 = 130,175 : x
  2. Step 2: Convert to fraction form
    61,055.25/130,175 = 130,175/x
  3. Step 3: Cross multiply
    61,055.25x = 130,175 × 130,175
  4. Step 4: Simplify right side
    61,055.25x = 16,945,530,625
  5. Step 5: Solve for x
    x = 16,945,530,625/61,055.25
  6. Step 6: Final answer
    x = 277,544.20

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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.