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Finding the Third Proportional to 125,511.75 and 270,706.50

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Solution

The third proportional to 125,511.75 and 270,706.50 is: 583,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,511.75 : 270,706.50 = 270,706.50 : x
  2. Step 2: Convert to fraction form
    125,511.75/270,706.50 = 270,706.50/x
  3. Step 3: Cross multiply
    125,511.75x = 270,706.50 × 270,706.50
  4. Step 4: Simplify right side
    125,511.75x = 73,282,009,142.25
  5. Step 5: Solve for x
    x = 73,282,009,142.25/125,511.75
  6. Step 6: Final answer
    x = 583,865.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.