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Finding the Third Proportional to 114,426 and 166,444

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Solution

The third proportional to 114,426 and 166,444 is: 242,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 166,444 = 166,444 : x
  2. Step 2: Convert to fraction form
    114,426/166,444 = 166,444/x
  3. Step 3: Cross multiply
    114,426x = 166,444 × 166,444
  4. Step 4: Simplify right side
    114,426x = 27,703,605,136
  5. Step 5: Solve for x
    x = 27,703,605,136/114,426
  6. Step 6: Final answer
    x = 242,109.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.