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Finding the Third Proportional to 61,520 and 96,380

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Solution

The third proportional to 61,520 and 96,380 is: 150,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520 : 96,380 = 96,380 : x
  2. Step 2: Convert to fraction form
    61,520/96,380 = 96,380/x
  3. Step 3: Cross multiply
    61,520x = 96,380 × 96,380
  4. Step 4: Simplify right side
    61,520x = 9,289,104,400
  5. Step 5: Solve for x
    x = 9,289,104,400/61,520
  6. Step 6: Final answer
    x = 150,993.24

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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.