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Finding the Third Proportional to 71,568 and 94,627.50

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Solution

The third proportional to 71,568 and 94,627.50 is: 125,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568 : 94,627.50 = 94,627.50 : x
  2. Step 2: Convert to fraction form
    71,568/94,627.50 = 94,627.50/x
  3. Step 3: Cross multiply
    71,568x = 94,627.50 × 94,627.50
  4. Step 4: Simplify right side
    71,568x = 8,954,363,756.25
  5. Step 5: Solve for x
    x = 8,954,363,756.25/71,568
  6. Step 6: Final answer
    x = 125,116.86

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.