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Finding the Third Proportional to 57,248 and 116,113

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Solution

The third proportional to 57,248 and 116,113 is: 235,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,248 : 116,113 = 116,113 : x
  2. Step 2: Convert to fraction form
    57,248/116,113 = 116,113/x
  3. Step 3: Cross multiply
    57,248x = 116,113 × 116,113
  4. Step 4: Simplify right side
    57,248x = 13,482,228,769
  5. Step 5: Solve for x
    x = 13,482,228,769/57,248
  6. Step 6: Final answer
    x = 235,505.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.