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Finding the Third Proportional to 71,280 and 112,863.38

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Solution

The third proportional to 71,280 and 112,863.38 is: 178,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 112,863.38 = 112,863.38 : x
  2. Step 2: Convert to fraction form
    71,280/112,863.38 = 112,863.38/x
  3. Step 3: Cross multiply
    71,280x = 112,863.38 × 112,863.38
  4. Step 4: Simplify right side
    71,280x = 12,738,141,416.39
  5. Step 5: Solve for x
    x = 12,738,141,416.39/71,280
  6. Step 6: Final answer
    x = 178,705.69

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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.