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Finding the Third Proportional to 129,036 and 189,757.50

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Solution

The third proportional to 129,036 and 189,757.50 is: 279,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036 : 189,757.50 = 189,757.50 : x
  2. Step 2: Convert to fraction form
    129,036/189,757.50 = 189,757.50/x
  3. Step 3: Cross multiply
    129,036x = 189,757.50 × 189,757.50
  4. Step 4: Simplify right side
    129,036x = 36,007,908,806.25
  5. Step 5: Solve for x
    x = 36,007,908,806.25/129,036
  6. Step 6: Final answer
    x = 279,053.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.