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Finding the Third Proportional to 144,018 and 193,878

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Solution

The third proportional to 144,018 and 193,878 is: 260,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,018 : 193,878 = 193,878 : x
  2. Step 2: Convert to fraction form
    144,018/193,878 = 193,878/x
  3. Step 3: Cross multiply
    144,018x = 193,878 × 193,878
  4. Step 4: Simplify right side
    144,018x = 37,588,678,884
  5. Step 5: Solve for x
    x = 37,588,678,884/144,018
  6. Step 6: Final answer
    x = 260,999.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.