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Finding the Third Proportional to 125,881 and 190,036

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Solution

The third proportional to 125,881 and 190,036 is: 286,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,881 : 190,036 = 190,036 : x
  2. Step 2: Convert to fraction form
    125,881/190,036 = 190,036/x
  3. Step 3: Cross multiply
    125,881x = 190,036 × 190,036
  4. Step 4: Simplify right side
    125,881x = 36,113,681,296
  5. Step 5: Solve for x
    x = 36,113,681,296/125,881
  6. Step 6: Final answer
    x = 286,887.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.