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Finding the Third Proportional to 71,293.50 and 112,880.25

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Solution

The third proportional to 71,293.50 and 112,880.25 is: 178,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293.50 : 112,880.25 = 112,880.25 : x
  2. Step 2: Convert to fraction form
    71,293.50/112,880.25 = 112,880.25/x
  3. Step 3: Cross multiply
    71,293.50x = 112,880.25 × 112,880.25
  4. Step 4: Simplify right side
    71,293.50x = 12,741,950,840.06
  5. Step 5: Solve for x
    x = 12,741,950,840.06/71,293.50
  6. Step 6: Final answer
    x = 178,725.28

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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.