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Finding the Third Proportional to 71,274 and 112,850

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Solution

The third proportional to 71,274 and 112,850 is: 178,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274 : 112,850 = 112,850 : x
  2. Step 2: Convert to fraction form
    71,274/112,850 = 112,850/x
  3. Step 3: Cross multiply
    71,274x = 112,850 × 112,850
  4. Step 4: Simplify right side
    71,274x = 12,735,122,500
  5. Step 5: Solve for x
    x = 12,735,122,500/71,274
  6. Step 6: Final answer
    x = 178,678.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.