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Finding the Third Proportional to 62,706 and 133,916.25

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Solution

The third proportional to 62,706 and 133,916.25 is: 285,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,706 : 133,916.25 = 133,916.25 : x
  2. Step 2: Convert to fraction form
    62,706/133,916.25 = 133,916.25/x
  3. Step 3: Cross multiply
    62,706x = 133,916.25 × 133,916.25
  4. Step 4: Simplify right side
    62,706x = 17,933,562,014.06
  5. Step 5: Solve for x
    x = 17,933,562,014.06/62,706
  6. Step 6: Final answer
    x = 285,994.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.