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Finding the Third Proportional to 64,302 and 141,054

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Solution

The third proportional to 64,302 and 141,054 is: 309,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,302 : 141,054 = 141,054 : x
  2. Step 2: Convert to fraction form
    64,302/141,054 = 141,054/x
  3. Step 3: Cross multiply
    64,302x = 141,054 × 141,054
  4. Step 4: Simplify right side
    64,302x = 19,896,230,916
  5. Step 5: Solve for x
    x = 19,896,230,916/64,302
  6. Step 6: Final answer
    x = 309,418.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.