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Finding the Third Proportional to 82,854 and 130,185

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Solution

The third proportional to 82,854 and 130,185 is: 204,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854 : 130,185 = 130,185 : x
  2. Step 2: Convert to fraction form
    82,854/130,185 = 130,185/x
  3. Step 3: Cross multiply
    82,854x = 130,185 × 130,185
  4. Step 4: Simplify right side
    82,854x = 16,948,134,225
  5. Step 5: Solve for x
    x = 16,948,134,225/82,854
  6. Step 6: Final answer
    x = 204,554.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.