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Finding the Third Proportional to 58,942.69 and 83,318.63

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Solution

The third proportional to 58,942.69 and 83,318.63 is: 117,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,942.69 : 83,318.63 = 83,318.63 : x
  2. Step 2: Convert to fraction form
    58,942.69/83,318.63 = 83,318.63/x
  3. Step 3: Cross multiply
    58,942.69x = 83,318.63 × 83,318.63
  4. Step 4: Simplify right side
    58,942.69x = 6,941,993,271.89
  5. Step 5: Solve for x
    x = 6,941,993,271.89/58,942.69
  6. Step 6: Final answer
    x = 117,775.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.