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Finding the Third Proportional to 53,914 and 83,103

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Solution

The third proportional to 53,914 and 83,103 is: 128,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914 : 83,103 = 83,103 : x
  2. Step 2: Convert to fraction form
    53,914/83,103 = 83,103/x
  3. Step 3: Cross multiply
    53,914x = 83,103 × 83,103
  4. Step 4: Simplify right side
    53,914x = 6,906,108,609
  5. Step 5: Solve for x
    x = 6,906,108,609/53,914
  6. Step 6: Final answer
    x = 128,094.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.