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Finding the Third Proportional to 51,584 and 112,890

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Solution

The third proportional to 51,584 and 112,890 is: 247,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584 : 112,890 = 112,890 : x
  2. Step 2: Convert to fraction form
    51,584/112,890 = 112,890/x
  3. Step 3: Cross multiply
    51,584x = 112,890 × 112,890
  4. Step 4: Simplify right side
    51,584x = 12,744,152,100
  5. Step 5: Solve for x
    x = 12,744,152,100/51,584
  6. Step 6: Final answer
    x = 247,056.30

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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.