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Finding the Third Proportional to 69,094 and 145,148

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Solution

The third proportional to 69,094 and 145,148 is: 304,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094 : 145,148 = 145,148 : x
  2. Step 2: Convert to fraction form
    69,094/145,148 = 145,148/x
  3. Step 3: Cross multiply
    69,094x = 145,148 × 145,148
  4. Step 4: Simplify right side
    69,094x = 21,067,941,904
  5. Step 5: Solve for x
    x = 21,067,941,904/69,094
  6. Step 6: Final answer
    x = 304,917.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.