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Finding the Third Proportional to 113,830.75 and 164,452.50

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Solution

The third proportional to 113,830.75 and 164,452.50 is: 237,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,830.75 : 164,452.50 = 164,452.50 : x
  2. Step 2: Convert to fraction form
    113,830.75/164,452.50 = 164,452.50/x
  3. Step 3: Cross multiply
    113,830.75x = 164,452.50 × 164,452.50
  4. Step 4: Simplify right side
    113,830.75x = 27,044,624,756.25
  5. Step 5: Solve for x
    x = 27,044,624,756.25/113,830.75
  6. Step 6: Final answer
    x = 237,586.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.