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Finding the Third Proportional to 58,250 and 87,143

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Solution

The third proportional to 58,250 and 87,143 is: 130,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,250 : 87,143 = 87,143 : x
  2. Step 2: Convert to fraction form
    58,250/87,143 = 87,143/x
  3. Step 3: Cross multiply
    58,250x = 87,143 × 87,143
  4. Step 4: Simplify right side
    58,250x = 7,593,902,449
  5. Step 5: Solve for x
    x = 7,593,902,449/58,250
  6. Step 6: Final answer
    x = 130,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.