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Finding the Third Proportional to 69,058 and 147,956

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Solution

The third proportional to 69,058 and 147,956 is: 316,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,058 : 147,956 = 147,956 : x
  2. Step 2: Convert to fraction form
    69,058/147,956 = 147,956/x
  3. Step 3: Cross multiply
    69,058x = 147,956 × 147,956
  4. Step 4: Simplify right side
    69,058x = 21,890,977,936
  5. Step 5: Solve for x
    x = 21,890,977,936/69,058
  6. Step 6: Final answer
    x = 316,994.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.