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Finding the Third Proportional to 119,992.01 and 257,061.73

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Solution

The third proportional to 119,992.01 and 257,061.73 is: 550,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,992.01 : 257,061.73 = 257,061.73 : x
  2. Step 2: Convert to fraction form
    119,992.01/257,061.73 = 257,061.73/x
  3. Step 3: Cross multiply
    119,992.01x = 257,061.73 × 257,061.73
  4. Step 4: Simplify right side
    119,992.01x = 66,080,731,263.29
  5. Step 5: Solve for x
    x = 66,080,731,263.29/119,992.01
  6. Step 6: Final answer
    x = 550,709.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.