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Finding the Third Proportional to 85,583 and 125,205

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Solution

The third proportional to 85,583 and 125,205 is: 183,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,583 : 125,205 = 125,205 : x
  2. Step 2: Convert to fraction form
    85,583/125,205 = 125,205/x
  3. Step 3: Cross multiply
    85,583x = 125,205 × 125,205
  4. Step 4: Simplify right side
    85,583x = 15,676,292,025
  5. Step 5: Solve for x
    x = 15,676,292,025/85,583
  6. Step 6: Final answer
    x = 183,170.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.