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Finding the Third Proportional to 125,310 and 196,875

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Solution

The third proportional to 125,310 and 196,875 is: 309,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,310 : 196,875 = 196,875 : x
  2. Step 2: Convert to fraction form
    125,310/196,875 = 196,875/x
  3. Step 3: Cross multiply
    125,310x = 196,875 × 196,875
  4. Step 4: Simplify right side
    125,310x = 38,759,765,625
  5. Step 5: Solve for x
    x = 38,759,765,625/125,310
  6. Step 6: Final answer
    x = 309,311.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.