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Finding the Third Proportional to 114,663 and 177,107

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Solution

The third proportional to 114,663 and 177,107 is: 273,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,663 : 177,107 = 177,107 : x
  2. Step 2: Convert to fraction form
    114,663/177,107 = 177,107/x
  3. Step 3: Cross multiply
    114,663x = 177,107 × 177,107
  4. Step 4: Simplify right side
    114,663x = 31,366,889,449
  5. Step 5: Solve for x
    x = 31,366,889,449/114,663
  6. Step 6: Final answer
    x = 273,557.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.