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Finding the Third Proportional to 69,053 and 148,974

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Solution

The third proportional to 69,053 and 148,974 is: 321,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,053 : 148,974 = 148,974 : x
  2. Step 2: Convert to fraction form
    69,053/148,974 = 148,974/x
  3. Step 3: Cross multiply
    69,053x = 148,974 × 148,974
  4. Step 4: Simplify right side
    69,053x = 22,193,252,676
  5. Step 5: Solve for x
    x = 22,193,252,676/69,053
  6. Step 6: Final answer
    x = 321,394.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.