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Finding the Third Proportional to 47,323 and 103,862

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Solution

The third proportional to 47,323 and 103,862 is: 227,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323 : 103,862 = 103,862 : x
  2. Step 2: Convert to fraction form
    47,323/103,862 = 103,862/x
  3. Step 3: Cross multiply
    47,323x = 103,862 × 103,862
  4. Step 4: Simplify right side
    47,323x = 10,787,315,044
  5. Step 5: Solve for x
    x = 10,787,315,044/47,323
  6. Step 6: Final answer
    x = 227,950.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.