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Finding the Third Proportional to 48,472 and 98,726

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Solution

The third proportional to 48,472 and 98,726 is: 201,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472 : 98,726 = 98,726 : x
  2. Step 2: Convert to fraction form
    48,472/98,726 = 98,726/x
  3. Step 3: Cross multiply
    48,472x = 98,726 × 98,726
  4. Step 4: Simplify right side
    48,472x = 9,746,823,076
  5. Step 5: Solve for x
    x = 9,746,823,076/48,472
  6. Step 6: Final answer
    x = 201,081.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.