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Finding the Third Proportional to 78,538.50 and 112,181

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Solution

The third proportional to 78,538.50 and 112,181 is: 160,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.50 : 112,181 = 112,181 : x
  2. Step 2: Convert to fraction form
    78,538.50/112,181 = 112,181/x
  3. Step 3: Cross multiply
    78,538.50x = 112,181 × 112,181
  4. Step 4: Simplify right side
    78,538.50x = 12,584,576,761
  5. Step 5: Solve for x
    x = 12,584,576,761/78,538.50
  6. Step 6: Final answer
    x = 160,234.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.