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Finding the Third Proportional to 58,703 and 89,177

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Solution

The third proportional to 58,703 and 89,177 is: 135,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,703 : 89,177 = 89,177 : x
  2. Step 2: Convert to fraction form
    58,703/89,177 = 89,177/x
  3. Step 3: Cross multiply
    58,703x = 89,177 × 89,177
  4. Step 4: Simplify right side
    58,703x = 7,952,537,329
  5. Step 5: Solve for x
    x = 7,952,537,329/58,703
  6. Step 6: Final answer
    x = 135,470.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.