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Finding the Third Proportional to 58,018 and 87,191

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Solution

The third proportional to 58,018 and 87,191 is: 131,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,018 : 87,191 = 87,191 : x
  2. Step 2: Convert to fraction form
    58,018/87,191 = 87,191/x
  3. Step 3: Cross multiply
    58,018x = 87,191 × 87,191
  4. Step 4: Simplify right side
    58,018x = 7,602,270,481
  5. Step 5: Solve for x
    x = 7,602,270,481/58,018
  6. Step 6: Final answer
    x = 131,032.96

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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.