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Finding the Third Proportional to 58,514 and 85,115

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Solution

The third proportional to 58,514 and 85,115 is: 123,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,514 : 85,115 = 85,115 : x
  2. Step 2: Convert to fraction form
    58,514/85,115 = 85,115/x
  3. Step 3: Cross multiply
    58,514x = 85,115 × 85,115
  4. Step 4: Simplify right side
    58,514x = 7,244,563,225
  5. Step 5: Solve for x
    x = 7,244,563,225/58,514
  6. Step 6: Final answer
    x = 123,809.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.