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Finding the Third Proportional to 58,021 and 87,493.50

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Solution

The third proportional to 58,021 and 87,493.50 is: 131,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,021 : 87,493.50 = 87,493.50 : x
  2. Step 2: Convert to fraction form
    58,021/87,493.50 = 87,493.50/x
  3. Step 3: Cross multiply
    58,021x = 87,493.50 × 87,493.50
  4. Step 4: Simplify right side
    58,021x = 7,655,112,542.25
  5. Step 5: Solve for x
    x = 7,655,112,542.25/58,021
  6. Step 6: Final answer
    x = 131,936.93

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