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Finding the Third Proportional to 122,904 and 187,926.75

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Solution

The third proportional to 122,904 and 187,926.75 is: 287,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 187,926.75 = 187,926.75 : x
  2. Step 2: Convert to fraction form
    122,904/187,926.75 = 187,926.75/x
  3. Step 3: Cross multiply
    122,904x = 187,926.75 × 187,926.75
  4. Step 4: Simplify right side
    122,904x = 35,316,463,365.56
  5. Step 5: Solve for x
    x = 35,316,463,365.56/122,904
  6. Step 6: Final answer
    x = 287,349.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.