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Finding the Third Proportional to 85,898 and 133,585

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Solution

The third proportional to 85,898 and 133,585 is: 207,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898 : 133,585 = 133,585 : x
  2. Step 2: Convert to fraction form
    85,898/133,585 = 133,585/x
  3. Step 3: Cross multiply
    85,898x = 133,585 × 133,585
  4. Step 4: Simplify right side
    85,898x = 17,844,952,225
  5. Step 5: Solve for x
    x = 17,844,952,225/85,898
  6. Step 6: Final answer
    x = 207,745.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.