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Finding the Third Proportional to 48,056 and 68,804

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Solution

The third proportional to 48,056 and 68,804 is: 98,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,056 : 68,804 = 68,804 : x
  2. Step 2: Convert to fraction form
    48,056/68,804 = 68,804/x
  3. Step 3: Cross multiply
    48,056x = 68,804 × 68,804
  4. Step 4: Simplify right side
    48,056x = 4,733,990,416
  5. Step 5: Solve for x
    x = 4,733,990,416/48,056
  6. Step 6: Final answer
    x = 98,509.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.