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Finding the Third Proportional to 58,178.25 and 120,092.63

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Solution

The third proportional to 58,178.25 and 120,092.63 is: 247,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,178.25 : 120,092.63 = 120,092.63 : x
  2. Step 2: Convert to fraction form
    58,178.25/120,092.63 = 120,092.63/x
  3. Step 3: Cross multiply
    58,178.25x = 120,092.63 × 120,092.63
  4. Step 4: Simplify right side
    58,178.25x = 14,422,238,579.39
  5. Step 5: Solve for x
    x = 14,422,238,579.39/58,178.25
  6. Step 6: Final answer
    x = 247,897.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.