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Finding the Third Proportional to 57,368 and 125,320

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Solution

The third proportional to 57,368 and 125,320 is: 273,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368 : 125,320 = 125,320 : x
  2. Step 2: Convert to fraction form
    57,368/125,320 = 125,320/x
  3. Step 3: Cross multiply
    57,368x = 125,320 × 125,320
  4. Step 4: Simplify right side
    57,368x = 15,705,102,400
  5. Step 5: Solve for x
    x = 15,705,102,400/57,368
  6. Step 6: Final answer
    x = 273,760.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.