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Finding the Third Proportional to 72,478 and 115,305

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Solution

The third proportional to 72,478 and 115,305 is: 183,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478 : 115,305 = 115,305 : x
  2. Step 2: Convert to fraction form
    72,478/115,305 = 115,305/x
  3. Step 3: Cross multiply
    72,478x = 115,305 × 115,305
  4. Step 4: Simplify right side
    72,478x = 13,295,243,025
  5. Step 5: Solve for x
    x = 13,295,243,025/72,478
  6. Step 6: Final answer
    x = 183,438.33

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