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Finding the Third Proportional to 65,514 and 154,003.50

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Solution

The third proportional to 65,514 and 154,003.50 is: 362,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514 : 154,003.50 = 154,003.50 : x
  2. Step 2: Convert to fraction form
    65,514/154,003.50 = 154,003.50/x
  3. Step 3: Cross multiply
    65,514x = 154,003.50 × 154,003.50
  4. Step 4: Simplify right side
    65,514x = 23,717,078,012.25
  5. Step 5: Solve for x
    x = 23,717,078,012.25/65,514
  6. Step 6: Final answer
    x = 362,015.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.