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Finding the Third Proportional to 113,417.25 and 171,036.75

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Solution

The third proportional to 113,417.25 and 171,036.75 is: 257,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,417.25 : 171,036.75 = 171,036.75 : x
  2. Step 2: Convert to fraction form
    113,417.25/171,036.75 = 171,036.75/x
  3. Step 3: Cross multiply
    113,417.25x = 171,036.75 × 171,036.75
  4. Step 4: Simplify right side
    113,417.25x = 29,253,569,850.56
  5. Step 5: Solve for x
    x = 29,253,569,850.56/113,417.25
  6. Step 6: Final answer
    x = 257,928.75

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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.