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Finding the Third Proportional to 96,632 and 144,500

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Solution

The third proportional to 96,632 and 144,500 is: 216,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,632 : 144,500 = 144,500 : x
  2. Step 2: Convert to fraction form
    96,632/144,500 = 144,500/x
  3. Step 3: Cross multiply
    96,632x = 144,500 × 144,500
  4. Step 4: Simplify right side
    96,632x = 20,880,250,000
  5. Step 5: Solve for x
    x = 20,880,250,000/96,632
  6. Step 6: Final answer
    x = 216,080.08

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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.