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Finding the Third Proportional to 46,176 and 71,724

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Solution

The third proportional to 46,176 and 71,724 is: 111,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 71,724 = 71,724 : x
  2. Step 2: Convert to fraction form
    46,176/71,724 = 71,724/x
  3. Step 3: Cross multiply
    46,176x = 71,724 × 71,724
  4. Step 4: Simplify right side
    46,176x = 5,144,332,176
  5. Step 5: Solve for x
    x = 5,144,332,176/46,176
  6. Step 6: Final answer
    x = 111,407.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.