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Finding the Third Proportional to 46,154 and 72,305

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Solution

The third proportional to 46,154 and 72,305 is: 113,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,154 : 72,305 = 72,305 : x
  2. Step 2: Convert to fraction form
    46,154/72,305 = 72,305/x
  3. Step 3: Cross multiply
    46,154x = 72,305 × 72,305
  4. Step 4: Simplify right side
    46,154x = 5,228,013,025
  5. Step 5: Solve for x
    x = 5,228,013,025/46,154
  6. Step 6: Final answer
    x = 113,273.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.