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Finding the Third Proportional to 114,666 and 177,111

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Solution

The third proportional to 114,666 and 177,111 is: 273,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,666 : 177,111 = 177,111 : x
  2. Step 2: Convert to fraction form
    114,666/177,111 = 177,111/x
  3. Step 3: Cross multiply
    114,666x = 177,111 × 177,111
  4. Step 4: Simplify right side
    114,666x = 31,368,306,321
  5. Step 5: Solve for x
    x = 31,368,306,321/114,666
  6. Step 6: Final answer
    x = 273,562.40

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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.