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Finding the Third Proportional to 58,369.50 and 113,823

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Solution

The third proportional to 58,369.50 and 113,823 is: 221,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,369.50 : 113,823 = 113,823 : x
  2. Step 2: Convert to fraction form
    58,369.50/113,823 = 113,823/x
  3. Step 3: Cross multiply
    58,369.50x = 113,823 × 113,823
  4. Step 4: Simplify right side
    58,369.50x = 12,955,675,329
  5. Step 5: Solve for x
    x = 12,955,675,329/58,369.50
  6. Step 6: Final answer
    x = 221,959.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.