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Finding the Third Proportional to 78,221 and 112,093

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Solution

The third proportional to 78,221 and 112,093 is: 160,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221 : 112,093 = 112,093 : x
  2. Step 2: Convert to fraction form
    78,221/112,093 = 112,093/x
  3. Step 3: Cross multiply
    78,221x = 112,093 × 112,093
  4. Step 4: Simplify right side
    78,221x = 12,564,840,649
  5. Step 5: Solve for x
    x = 12,564,840,649/78,221
  6. Step 6: Final answer
    x = 160,632.57

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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.