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Finding the Third Proportional to 89,112 and 185,570

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Solution

The third proportional to 89,112 and 185,570 is: 386,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,112 : 185,570 = 185,570 : x
  2. Step 2: Convert to fraction form
    89,112/185,570 = 185,570/x
  3. Step 3: Cross multiply
    89,112x = 185,570 × 185,570
  4. Step 4: Simplify right side
    89,112x = 34,436,224,900
  5. Step 5: Solve for x
    x = 34,436,224,900/89,112
  6. Step 6: Final answer
    x = 386,437.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.