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Finding the Third Proportional to 86,948 and 190,564

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Solution

The third proportional to 86,948 and 190,564 is: 417,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,948 : 190,564 = 190,564 : x
  2. Step 2: Convert to fraction form
    86,948/190,564 = 190,564/x
  3. Step 3: Cross multiply
    86,948x = 190,564 × 190,564
  4. Step 4: Simplify right side
    86,948x = 36,314,638,096
  5. Step 5: Solve for x
    x = 36,314,638,096/86,948
  6. Step 6: Final answer
    x = 417,659.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.