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Finding the Third Proportional to 64,974 and 141,044

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Solution

The third proportional to 64,974 and 141,044 is: 306,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,974 : 141,044 = 141,044 : x
  2. Step 2: Convert to fraction form
    64,974/141,044 = 141,044/x
  3. Step 3: Cross multiply
    64,974x = 141,044 × 141,044
  4. Step 4: Simplify right side
    64,974x = 19,893,409,936
  5. Step 5: Solve for x
    x = 19,893,409,936/64,974
  6. Step 6: Final answer
    x = 306,174.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.