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Finding the Third Proportional to 113,880 and 166,430

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Solution

The third proportional to 113,880 and 166,430 is: 243,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,880 : 166,430 = 166,430 : x
  2. Step 2: Convert to fraction form
    113,880/166,430 = 166,430/x
  3. Step 3: Cross multiply
    113,880x = 166,430 × 166,430
  4. Step 4: Simplify right side
    113,880x = 27,698,944,900
  5. Step 5: Solve for x
    x = 27,698,944,900/113,880
  6. Step 6: Final answer
    x = 243,229.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.