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Finding the Third Proportional to 113,426 and 171,015

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Solution

The third proportional to 113,426 and 171,015 is: 257,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,426 : 171,015 = 171,015 : x
  2. Step 2: Convert to fraction form
    113,426/171,015 = 171,015/x
  3. Step 3: Cross multiply
    113,426x = 171,015 × 171,015
  4. Step 4: Simplify right side
    113,426x = 29,246,130,225
  5. Step 5: Solve for x
    x = 29,246,130,225/113,426
  6. Step 6: Final answer
    x = 257,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.