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Finding the Third Proportional to 85,854 and 132,935

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Solution

The third proportional to 85,854 and 132,935 is: 205,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,854 : 132,935 = 132,935 : x
  2. Step 2: Convert to fraction form
    85,854/132,935 = 132,935/x
  3. Step 3: Cross multiply
    85,854x = 132,935 × 132,935
  4. Step 4: Simplify right side
    85,854x = 17,671,714,225
  5. Step 5: Solve for x
    x = 17,671,714,225/85,854
  6. Step 6: Final answer
    x = 205,834.49

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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.