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Finding the Third Proportional to 46,242 and 101,045

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Solution

The third proportional to 46,242 and 101,045 is: 220,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,242 : 101,045 = 101,045 : x
  2. Step 2: Convert to fraction form
    46,242/101,045 = 101,045/x
  3. Step 3: Cross multiply
    46,242x = 101,045 × 101,045
  4. Step 4: Simplify right side
    46,242x = 10,210,092,025
  5. Step 5: Solve for x
    x = 10,210,092,025/46,242
  6. Step 6: Final answer
    x = 220,796.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.