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Finding the Third Proportional to 60,696 and 95,013

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Solution

The third proportional to 60,696 and 95,013 is: 148,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,696 : 95,013 = 95,013 : x
  2. Step 2: Convert to fraction form
    60,696/95,013 = 95,013/x
  3. Step 3: Cross multiply
    60,696x = 95,013 × 95,013
  4. Step 4: Simplify right side
    60,696x = 9,027,470,169
  5. Step 5: Solve for x
    x = 9,027,470,169/60,696
  6. Step 6: Final answer
    x = 148,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.