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Finding the Third Proportional to 58,234 and 87,834

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Solution

The third proportional to 58,234 and 87,834 is: 132,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234 : 87,834 = 87,834 : x
  2. Step 2: Convert to fraction form
    58,234/87,834 = 87,834/x
  3. Step 3: Cross multiply
    58,234x = 87,834 × 87,834
  4. Step 4: Simplify right side
    58,234x = 7,714,811,556
  5. Step 5: Solve for x
    x = 7,714,811,556/58,234
  6. Step 6: Final answer
    x = 132,479.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.