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Finding the Third Proportional to 86,044 and 187,964

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Solution

The third proportional to 86,044 and 187,964 is: 410,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,044 : 187,964 = 187,964 : x
  2. Step 2: Convert to fraction form
    86,044/187,964 = 187,964/x
  3. Step 3: Cross multiply
    86,044x = 187,964 × 187,964
  4. Step 4: Simplify right side
    86,044x = 35,330,465,296
  5. Step 5: Solve for x
    x = 35,330,465,296/86,044
  6. Step 6: Final answer
    x = 410,609.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.