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Finding the Third Proportional to 58,242 and 87,916

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Solution

The third proportional to 58,242 and 87,916 is: 132,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,242 : 87,916 = 87,916 : x
  2. Step 2: Convert to fraction form
    58,242/87,916 = 87,916/x
  3. Step 3: Cross multiply
    58,242x = 87,916 × 87,916
  4. Step 4: Simplify right side
    58,242x = 7,729,223,056
  5. Step 5: Solve for x
    x = 7,729,223,056/58,242
  6. Step 6: Final answer
    x = 132,708.75

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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.