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Finding the Third Proportional to 139,938.75 and 210,915

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Solution

The third proportional to 139,938.75 and 210,915 is: 317,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,938.75 : 210,915 = 210,915 : x
  2. Step 2: Convert to fraction form
    139,938.75/210,915 = 210,915/x
  3. Step 3: Cross multiply
    139,938.75x = 210,915 × 210,915
  4. Step 4: Simplify right side
    139,938.75x = 44,485,137,225
  5. Step 5: Solve for x
    x = 44,485,137,225/139,938.75
  6. Step 6: Final answer
    x = 317,890.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.