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Finding the Third Proportional to 58,583.25 and 87,733.13

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Solution

The third proportional to 58,583.25 and 87,733.13 is: 131,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,583.25 : 87,733.13 = 87,733.13 : x
  2. Step 2: Convert to fraction form
    58,583.25/87,733.13 = 87,733.13/x
  3. Step 3: Cross multiply
    58,583.25x = 87,733.13 × 87,733.13
  4. Step 4: Simplify right side
    58,583.25x = 7,697,101,222.27
  5. Step 5: Solve for x
    x = 7,697,101,222.27/58,583.25
  6. Step 6: Final answer
    x = 131,387.41

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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.