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Finding the Third Proportional to 53,156 and 82,254

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Solution

The third proportional to 53,156 and 82,254 is: 127,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156 : 82,254 = 82,254 : x
  2. Step 2: Convert to fraction form
    53,156/82,254 = 82,254/x
  3. Step 3: Cross multiply
    53,156x = 82,254 × 82,254
  4. Step 4: Simplify right side
    53,156x = 6,765,720,516
  5. Step 5: Solve for x
    x = 6,765,720,516/53,156
  6. Step 6: Final answer
    x = 127,280.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.