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Finding the Third Proportional to 57,457.50 and 89,175

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Solution

The third proportional to 57,457.50 and 89,175 is: 138,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,457.50 : 89,175 = 89,175 : x
  2. Step 2: Convert to fraction form
    57,457.50/89,175 = 89,175/x
  3. Step 3: Cross multiply
    57,457.50x = 89,175 × 89,175
  4. Step 4: Simplify right side
    57,457.50x = 7,952,180,625
  5. Step 5: Solve for x
    x = 7,952,180,625/57,457.50
  6. Step 6: Final answer
    x = 138,401.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.