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Finding the Third Proportional to 64,044 and 140,562

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Solution

The third proportional to 64,044 and 140,562 is: 308,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,044 : 140,562 = 140,562 : x
  2. Step 2: Convert to fraction form
    64,044/140,562 = 140,562/x
  3. Step 3: Cross multiply
    64,044x = 140,562 × 140,562
  4. Step 4: Simplify right side
    64,044x = 19,757,675,844
  5. Step 5: Solve for x
    x = 19,757,675,844/64,044
  6. Step 6: Final answer
    x = 308,501.59

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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.