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Finding the Third Proportional to 58,072.78 and 85,189.78

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Solution

The third proportional to 58,072.78 and 85,189.78 is: 124,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,072.78 : 85,189.78 = 85,189.78 : x
  2. Step 2: Convert to fraction form
    58,072.78/85,189.78 = 85,189.78/x
  3. Step 3: Cross multiply
    58,072.78x = 85,189.78 × 85,189.78
  4. Step 4: Simplify right side
    58,072.78x = 7,257,298,829.42
  5. Step 5: Solve for x
    x = 7,257,298,829.42/58,072.78
  6. Step 6: Final answer
    x = 124,969.02

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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.