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Finding the Third Proportional to 56,375 and 89,200

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Solution

The third proportional to 56,375 and 89,200 is: 141,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,375 : 89,200 = 89,200 : x
  2. Step 2: Convert to fraction form
    56,375/89,200 = 89,200/x
  3. Step 3: Cross multiply
    56,375x = 89,200 × 89,200
  4. Step 4: Simplify right side
    56,375x = 7,956,640,000
  5. Step 5: Solve for x
    x = 7,956,640,000/56,375
  6. Step 6: Final answer
    x = 141,137.74

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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.