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Finding the Third Proportional to 48,108 and 70,300

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Solution

The third proportional to 48,108 and 70,300 is: 102,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,108 : 70,300 = 70,300 : x
  2. Step 2: Convert to fraction form
    48,108/70,300 = 70,300/x
  3. Step 3: Cross multiply
    48,108x = 70,300 × 70,300
  4. Step 4: Simplify right side
    48,108x = 4,942,090,000
  5. Step 5: Solve for x
    x = 4,942,090,000/48,108
  6. Step 6: Final answer
    x = 102,729.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.