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Finding the Third Proportional to 64,444 and 141,974

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Solution

The third proportional to 64,444 and 141,974 is: 312,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,444 : 141,974 = 141,974 : x
  2. Step 2: Convert to fraction form
    64,444/141,974 = 141,974/x
  3. Step 3: Cross multiply
    64,444x = 141,974 × 141,974
  4. Step 4: Simplify right side
    64,444x = 20,156,616,676
  5. Step 5: Solve for x
    x = 20,156,616,676/64,444
  6. Step 6: Final answer
    x = 312,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.