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Finding the Third Proportional to 84,322 and 112,835

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Solution

The third proportional to 84,322 and 112,835 is: 150,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,322 : 112,835 = 112,835 : x
  2. Step 2: Convert to fraction form
    84,322/112,835 = 112,835/x
  3. Step 3: Cross multiply
    84,322x = 112,835 × 112,835
  4. Step 4: Simplify right side
    84,322x = 12,731,737,225
  5. Step 5: Solve for x
    x = 12,731,737,225/84,322
  6. Step 6: Final answer
    x = 150,989.51

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.