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Finding the Third Proportional to 62,260 and 89,500

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Solution

The third proportional to 62,260 and 89,500 is: 128,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,260 : 89,500 = 89,500 : x
  2. Step 2: Convert to fraction form
    62,260/89,500 = 89,500/x
  3. Step 3: Cross multiply
    62,260x = 89,500 × 89,500
  4. Step 4: Simplify right side
    62,260x = 8,010,250,000
  5. Step 5: Solve for x
    x = 8,010,250,000/62,260
  6. Step 6: Final answer
    x = 128,658.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.