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Finding the Third Proportional to 122,166.75 and 265,222.50

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Solution

The third proportional to 122,166.75 and 265,222.50 is: 575,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,166.75 : 265,222.50 = 265,222.50 : x
  2. Step 2: Convert to fraction form
    122,166.75/265,222.50 = 265,222.50/x
  3. Step 3: Cross multiply
    122,166.75x = 265,222.50 × 265,222.50
  4. Step 4: Simplify right side
    122,166.75x = 70,342,974,506.25
  5. Step 5: Solve for x
    x = 70,342,974,506.25/122,166.75
  6. Step 6: Final answer
    x = 575,794.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.