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Finding the Third Proportional to 46,059.75 and 73,242

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Solution

The third proportional to 46,059.75 and 73,242 is: 116,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,059.75 : 73,242 = 73,242 : x
  2. Step 2: Convert to fraction form
    46,059.75/73,242 = 73,242/x
  3. Step 3: Cross multiply
    46,059.75x = 73,242 × 73,242
  4. Step 4: Simplify right side
    46,059.75x = 5,364,390,564
  5. Step 5: Solve for x
    x = 5,364,390,564/46,059.75
  6. Step 6: Final answer
    x = 116,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.