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Finding the Third Proportional to 82,854 and 124,072

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Solution

The third proportional to 82,854 and 124,072 is: 185,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854 : 124,072 = 124,072 : x
  2. Step 2: Convert to fraction form
    82,854/124,072 = 124,072/x
  3. Step 3: Cross multiply
    82,854x = 124,072 × 124,072
  4. Step 4: Simplify right side
    82,854x = 15,393,861,184
  5. Step 5: Solve for x
    x = 15,393,861,184/82,854
  6. Step 6: Final answer
    x = 185,795.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.