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Finding the Third Proportional to 58,026 and 87,015

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Solution

The third proportional to 58,026 and 87,015 is: 130,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,026 : 87,015 = 87,015 : x
  2. Step 2: Convert to fraction form
    58,026/87,015 = 87,015/x
  3. Step 3: Cross multiply
    58,026x = 87,015 × 87,015
  4. Step 4: Simplify right side
    58,026x = 7,571,610,225
  5. Step 5: Solve for x
    x = 7,571,610,225/58,026
  6. Step 6: Final answer
    x = 130,486.51

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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.