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Finding the Third Proportional to 104,428 and 162,880

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Solution

The third proportional to 104,428 and 162,880 is: 254,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,428 : 162,880 = 162,880 : x
  2. Step 2: Convert to fraction form
    104,428/162,880 = 162,880/x
  3. Step 3: Cross multiply
    104,428x = 162,880 × 162,880
  4. Step 4: Simplify right side
    104,428x = 26,529,894,400
  5. Step 5: Solve for x
    x = 26,529,894,400/104,428
  6. Step 6: Final answer
    x = 254,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.