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Finding the Third Proportional to 125,823 and 183,544.50

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Solution

The third proportional to 125,823 and 183,544.50 is: 267,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,823 : 183,544.50 = 183,544.50 : x
  2. Step 2: Convert to fraction form
    125,823/183,544.50 = 183,544.50/x
  3. Step 3: Cross multiply
    125,823x = 183,544.50 × 183,544.50
  4. Step 4: Simplify right side
    125,823x = 33,688,583,480.25
  5. Step 5: Solve for x
    x = 33,688,583,480.25/125,823
  6. Step 6: Final answer
    x = 267,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.