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Finding the Third Proportional to 46,974 and 97,053

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Solution

The third proportional to 46,974 and 97,053 is: 200,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,974 : 97,053 = 97,053 : x
  2. Step 2: Convert to fraction form
    46,974/97,053 = 97,053/x
  3. Step 3: Cross multiply
    46,974x = 97,053 × 97,053
  4. Step 4: Simplify right side
    46,974x = 9,419,284,809
  5. Step 5: Solve for x
    x = 9,419,284,809/46,974
  6. Step 6: Final answer
    x = 200,521.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.