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Finding the Third Proportional to 58,189 and 88,975

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Solution

The third proportional to 58,189 and 88,975 is: 136,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,189 : 88,975 = 88,975 : x
  2. Step 2: Convert to fraction form
    58,189/88,975 = 88,975/x
  3. Step 3: Cross multiply
    58,189x = 88,975 × 88,975
  4. Step 4: Simplify right side
    58,189x = 7,916,550,625
  5. Step 5: Solve for x
    x = 7,916,550,625/58,189
  6. Step 6: Final answer
    x = 136,048.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.