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Finding the Third Proportional to 82,854 and 127,516

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Solution

The third proportional to 82,854 and 127,516 is: 196,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854 : 127,516 = 127,516 : x
  2. Step 2: Convert to fraction form
    82,854/127,516 = 127,516/x
  3. Step 3: Cross multiply
    82,854x = 127,516 × 127,516
  4. Step 4: Simplify right side
    82,854x = 16,260,330,256
  5. Step 5: Solve for x
    x = 16,260,330,256/82,854
  6. Step 6: Final answer
    x = 196,252.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.