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Finding the Third Proportional to 58,369 and 89,012

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Solution

The third proportional to 58,369 and 89,012 is: 135,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,369 : 89,012 = 89,012 : x
  2. Step 2: Convert to fraction form
    58,369/89,012 = 89,012/x
  3. Step 3: Cross multiply
    58,369x = 89,012 × 89,012
  4. Step 4: Simplify right side
    58,369x = 7,923,136,144
  5. Step 5: Solve for x
    x = 7,923,136,144/58,369
  6. Step 6: Final answer
    x = 135,742.19

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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.