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Finding the Third Proportional to 115,948 and 165,417

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Solution

The third proportional to 115,948 and 165,417 is: 235,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,948 : 165,417 = 165,417 : x
  2. Step 2: Convert to fraction form
    115,948/165,417 = 165,417/x
  3. Step 3: Cross multiply
    115,948x = 165,417 × 165,417
  4. Step 4: Simplify right side
    115,948x = 27,362,783,889
  5. Step 5: Solve for x
    x = 27,362,783,889/115,948
  6. Step 6: Final answer
    x = 235,991.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.