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Finding the Third Proportional to 58,846 and 87,125

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Solution

The third proportional to 58,846 and 87,125 is: 128,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846 : 87,125 = 87,125 : x
  2. Step 2: Convert to fraction form
    58,846/87,125 = 87,125/x
  3. Step 3: Cross multiply
    58,846x = 87,125 × 87,125
  4. Step 4: Simplify right side
    58,846x = 7,590,765,625
  5. Step 5: Solve for x
    x = 7,590,765,625/58,846
  6. Step 6: Final answer
    x = 128,993.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.