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Finding the Third Proportional to 47,644 and 107,428

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Solution

The third proportional to 47,644 and 107,428 is: 242,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644 : 107,428 = 107,428 : x
  2. Step 2: Convert to fraction form
    47,644/107,428 = 107,428/x
  3. Step 3: Cross multiply
    47,644x = 107,428 × 107,428
  4. Step 4: Simplify right side
    47,644x = 11,540,775,184
  5. Step 5: Solve for x
    x = 11,540,775,184/47,644
  6. Step 6: Final answer
    x = 242,229.35

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.