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Finding the Third Proportional to 82,586 and 121,935

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Solution

The third proportional to 82,586 and 121,935 is: 180,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586 : 121,935 = 121,935 : x
  2. Step 2: Convert to fraction form
    82,586/121,935 = 121,935/x
  3. Step 3: Cross multiply
    82,586x = 121,935 × 121,935
  4. Step 4: Simplify right side
    82,586x = 14,868,144,225
  5. Step 5: Solve for x
    x = 14,868,144,225/82,586
  6. Step 6: Final answer
    x = 180,032.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.