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Finding the Third Proportional to 124,451.25 and 273,094.50

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Solution

The third proportional to 124,451.25 and 273,094.50 is: 599,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,451.25 : 273,094.50 = 273,094.50 : x
  2. Step 2: Convert to fraction form
    124,451.25/273,094.50 = 273,094.50/x
  3. Step 3: Cross multiply
    124,451.25x = 273,094.50 × 273,094.50
  4. Step 4: Simplify right side
    124,451.25x = 74,580,605,930.25
  5. Step 5: Solve for x
    x = 74,580,605,930.25/124,451.25
  6. Step 6: Final answer
    x = 599,275.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.