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Finding the Third Proportional to 86,094 and 189,587

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Solution

The third proportional to 86,094 and 189,587 is: 417,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,094 : 189,587 = 189,587 : x
  2. Step 2: Convert to fraction form
    86,094/189,587 = 189,587/x
  3. Step 3: Cross multiply
    86,094x = 189,587 × 189,587
  4. Step 4: Simplify right side
    86,094x = 35,943,230,569
  5. Step 5: Solve for x
    x = 35,943,230,569/86,094
  6. Step 6: Final answer
    x = 417,488.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.