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Finding the Third Proportional to 125,405.06 and 189,444.75

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Solution

The third proportional to 125,405.06 and 189,444.75 is: 286,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,405.06 : 189,444.75 = 189,444.75 : x
  2. Step 2: Convert to fraction form
    125,405.06/189,444.75 = 189,444.75/x
  3. Step 3: Cross multiply
    125,405.06x = 189,444.75 × 189,444.75
  4. Step 4: Simplify right side
    125,405.06x = 35,889,313,302.56
  5. Step 5: Solve for x
    x = 35,889,313,302.56/125,405.06
  6. Step 6: Final answer
    x = 286,187.12

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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.