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Finding the Third Proportional to 51,592 and 112,905

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Solution

The third proportional to 51,592 and 112,905 is: 247,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592 : 112,905 = 112,905 : x
  2. Step 2: Convert to fraction form
    51,592/112,905 = 112,905/x
  3. Step 3: Cross multiply
    51,592x = 112,905 × 112,905
  4. Step 4: Simplify right side
    51,592x = 12,747,539,025
  5. Step 5: Solve for x
    x = 12,747,539,025/51,592
  6. Step 6: Final answer
    x = 247,083.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.