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Finding the Third Proportional to 48,121 and 69,316

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Solution

The third proportional to 48,121 and 69,316 is: 99,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,121 : 69,316 = 69,316 : x
  2. Step 2: Convert to fraction form
    48,121/69,316 = 69,316/x
  3. Step 3: Cross multiply
    48,121x = 69,316 × 69,316
  4. Step 4: Simplify right side
    48,121x = 4,804,707,856
  5. Step 5: Solve for x
    x = 4,804,707,856/48,121
  6. Step 6: Final answer
    x = 99,846.38

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Why These Related Problems?

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