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Finding the Third Proportional to 47,091 and 103,038

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Solution

The third proportional to 47,091 and 103,038 is: 225,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091 : 103,038 = 103,038 : x
  2. Step 2: Convert to fraction form
    47,091/103,038 = 103,038/x
  3. Step 3: Cross multiply
    47,091x = 103,038 × 103,038
  4. Step 4: Simplify right side
    47,091x = 10,616,829,444
  5. Step 5: Solve for x
    x = 10,616,829,444/47,091
  6. Step 6: Final answer
    x = 225,453.47

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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.