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Finding the Third Proportional to 129,215 and 189,570

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Solution

The third proportional to 129,215 and 189,570 is: 278,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215 : 189,570 = 189,570 : x
  2. Step 2: Convert to fraction form
    129,215/189,570 = 189,570/x
  3. Step 3: Cross multiply
    129,215x = 189,570 × 189,570
  4. Step 4: Simplify right side
    129,215x = 35,936,784,900
  5. Step 5: Solve for x
    x = 35,936,784,900/129,215
  6. Step 6: Final answer
    x = 278,116.20

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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.