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Finding the Third Proportional to 58,082.50 and 85,422.50

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Solution

The third proportional to 58,082.50 and 85,422.50 is: 125,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,082.50 : 85,422.50 = 85,422.50 : x
  2. Step 2: Convert to fraction form
    58,082.50/85,422.50 = 85,422.50/x
  3. Step 3: Cross multiply
    58,082.50x = 85,422.50 × 85,422.50
  4. Step 4: Simplify right side
    58,082.50x = 7,297,003,506.25
  5. Step 5: Solve for x
    x = 7,297,003,506.25/58,082.50
  6. Step 6: Final answer
    x = 125,631.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.