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Finding the Third Proportional to 125,969 and 195,038

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Solution

The third proportional to 125,969 and 195,038 is: 301,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,969 : 195,038 = 195,038 : x
  2. Step 2: Convert to fraction form
    125,969/195,038 = 195,038/x
  3. Step 3: Cross multiply
    125,969x = 195,038 × 195,038
  4. Step 4: Simplify right side
    125,969x = 38,039,821,444
  5. Step 5: Solve for x
    x = 38,039,821,444/125,969
  6. Step 6: Final answer
    x = 301,977.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.