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Finding the Third Proportional to 87,262 and 130,770

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Solution

The third proportional to 87,262 and 130,770 is: 195,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,262 : 130,770 = 130,770 : x
  2. Step 2: Convert to fraction form
    87,262/130,770 = 130,770/x
  3. Step 3: Cross multiply
    87,262x = 130,770 × 130,770
  4. Step 4: Simplify right side
    87,262x = 17,100,792,900
  5. Step 5: Solve for x
    x = 17,100,792,900/87,262
  6. Step 6: Final answer
    x = 195,970.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.