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Finding the Third Proportional to 43,116 and 88,584

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Solution

The third proportional to 43,116 and 88,584 is: 182,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,116 : 88,584 = 88,584 : x
  2. Step 2: Convert to fraction form
    43,116/88,584 = 88,584/x
  3. Step 3: Cross multiply
    43,116x = 88,584 × 88,584
  4. Step 4: Simplify right side
    43,116x = 7,847,125,056
  5. Step 5: Solve for x
    x = 7,847,125,056/43,116
  6. Step 6: Final answer
    x = 182,000.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.