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Finding the Third Proportional to 124,212 and 268,093.50

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Solution

The third proportional to 124,212 and 268,093.50 is: 578,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,212 : 268,093.50 = 268,093.50 : x
  2. Step 2: Convert to fraction form
    124,212/268,093.50 = 268,093.50/x
  3. Step 3: Cross multiply
    124,212x = 268,093.50 × 268,093.50
  4. Step 4: Simplify right side
    124,212x = 71,874,124,742.25
  5. Step 5: Solve for x
    x = 71,874,124,742.25/124,212
  6. Step 6: Final answer
    x = 578,640.75

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