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Finding the Third Proportional to 113,586.75 and 175,857.75

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Solution

The third proportional to 113,586.75 and 175,857.75 is: 272,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586.75 : 175,857.75 = 175,857.75 : x
  2. Step 2: Convert to fraction form
    113,586.75/175,857.75 = 175,857.75/x
  3. Step 3: Cross multiply
    113,586.75x = 175,857.75 × 175,857.75
  4. Step 4: Simplify right side
    113,586.75x = 30,925,948,235.06
  5. Step 5: Solve for x
    x = 30,925,948,235.06/113,586.75
  6. Step 6: Final answer
    x = 272,267.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.