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Finding the Third Proportional to 46,239 and 71,736

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Solution

The third proportional to 46,239 and 71,736 is: 111,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,239 : 71,736 = 71,736 : x
  2. Step 2: Convert to fraction form
    46,239/71,736 = 71,736/x
  3. Step 3: Cross multiply
    46,239x = 71,736 × 71,736
  4. Step 4: Simplify right side
    46,239x = 5,146,053,696
  5. Step 5: Solve for x
    x = 5,146,053,696/46,239
  6. Step 6: Final answer
    x = 111,292.50

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