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Finding the Third Proportional to 58,571 and 89,235

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Solution

The third proportional to 58,571 and 89,235 is: 135,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,571 : 89,235 = 89,235 : x
  2. Step 2: Convert to fraction form
    58,571/89,235 = 89,235/x
  3. Step 3: Cross multiply
    58,571x = 89,235 × 89,235
  4. Step 4: Simplify right side
    58,571x = 7,962,885,225
  5. Step 5: Solve for x
    x = 7,962,885,225/58,571
  6. Step 6: Final answer
    x = 135,952.69

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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.