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Finding the Third Proportional to 64,849.50 and 141,057

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Solution

The third proportional to 64,849.50 and 141,057 is: 306,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.50 : 141,057 = 141,057 : x
  2. Step 2: Convert to fraction form
    64,849.50/141,057 = 141,057/x
  3. Step 3: Cross multiply
    64,849.50x = 141,057 × 141,057
  4. Step 4: Simplify right side
    64,849.50x = 19,897,077,249
  5. Step 5: Solve for x
    x = 19,897,077,249/64,849.50
  6. Step 6: Final answer
    x = 306,819.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.