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Finding the Third Proportional to 58,913 and 88,177

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Solution

The third proportional to 58,913 and 88,177 is: 131,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,913 : 88,177 = 88,177 : x
  2. Step 2: Convert to fraction form
    58,913/88,177 = 88,177/x
  3. Step 3: Cross multiply
    58,913x = 88,177 × 88,177
  4. Step 4: Simplify right side
    58,913x = 7,775,183,329
  5. Step 5: Solve for x
    x = 7,775,183,329/58,913
  6. Step 6: Final answer
    x = 131,977.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.