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Finding the Third Proportional to 53,948 and 110,038

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Solution

The third proportional to 53,948 and 110,038 is: 224,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,948 : 110,038 = 110,038 : x
  2. Step 2: Convert to fraction form
    53,948/110,038 = 110,038/x
  3. Step 3: Cross multiply
    53,948x = 110,038 × 110,038
  4. Step 4: Simplify right side
    53,948x = 12,108,361,444
  5. Step 5: Solve for x
    x = 12,108,361,444/53,948
  6. Step 6: Final answer
    x = 224,445.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.