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Finding the Third Proportional to 86,032 and 127,590

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Solution

The third proportional to 86,032 and 127,590 is: 189,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032 : 127,590 = 127,590 : x
  2. Step 2: Convert to fraction form
    86,032/127,590 = 127,590/x
  3. Step 3: Cross multiply
    86,032x = 127,590 × 127,590
  4. Step 4: Simplify right side
    86,032x = 16,279,208,100
  5. Step 5: Solve for x
    x = 16,279,208,100/86,032
  6. Step 6: Final answer
    x = 189,222.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.