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Finding the Third Proportional to 131,724 and 195,300

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Solution

The third proportional to 131,724 and 195,300 is: 289,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,724 : 195,300 = 195,300 : x
  2. Step 2: Convert to fraction form
    131,724/195,300 = 195,300/x
  3. Step 3: Cross multiply
    131,724x = 195,300 × 195,300
  4. Step 4: Simplify right side
    131,724x = 38,142,090,000
  5. Step 5: Solve for x
    x = 38,142,090,000/131,724
  6. Step 6: Final answer
    x = 289,560.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.