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Finding the Third Proportional to 62,349 and 96,738

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Solution

The third proportional to 62,349 and 96,738 is: 150,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,349 : 96,738 = 96,738 : x
  2. Step 2: Convert to fraction form
    62,349/96,738 = 96,738/x
  3. Step 3: Cross multiply
    62,349x = 96,738 × 96,738
  4. Step 4: Simplify right side
    62,349x = 9,358,240,644
  5. Step 5: Solve for x
    x = 9,358,240,644/62,349
  6. Step 6: Final answer
    x = 150,094.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.