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Finding the Third Proportional to 55,958 and 109,082

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Solution

The third proportional to 55,958 and 109,082 is: 212,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,958 : 109,082 = 109,082 : x
  2. Step 2: Convert to fraction form
    55,958/109,082 = 109,082/x
  3. Step 3: Cross multiply
    55,958x = 109,082 × 109,082
  4. Step 4: Simplify right side
    55,958x = 11,898,882,724
  5. Step 5: Solve for x
    x = 11,898,882,724/55,958
  6. Step 6: Final answer
    x = 212,639.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.