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Finding the Third Proportional to 49,486.50 and 106,785

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Solution

The third proportional to 49,486.50 and 106,785 is: 230,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,486.50 : 106,785 = 106,785 : x
  2. Step 2: Convert to fraction form
    49,486.50/106,785 = 106,785/x
  3. Step 3: Cross multiply
    49,486.50x = 106,785 × 106,785
  4. Step 4: Simplify right side
    49,486.50x = 11,403,036,225
  5. Step 5: Solve for x
    x = 11,403,036,225/49,486.50
  6. Step 6: Final answer
    x = 230,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.