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Finding the Third Proportional to 58,314.94 and 122,855.06

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Solution

The third proportional to 58,314.94 and 122,855.06 is: 258,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,314.94 : 122,855.06 = 122,855.06 : x
  2. Step 2: Convert to fraction form
    58,314.94/122,855.06 = 122,855.06/x
  3. Step 3: Cross multiply
    58,314.94x = 122,855.06 × 122,855.06
  4. Step 4: Simplify right side
    58,314.94x = 15,093,366,381.88
  5. Step 5: Solve for x
    x = 15,093,366,381.88/58,314.94
  6. Step 6: Final answer
    x = 258,825.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.