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Finding the Third Proportional to 114,092 and 176,666

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Solution

The third proportional to 114,092 and 176,666 is: 273,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,092 : 176,666 = 176,666 : x
  2. Step 2: Convert to fraction form
    114,092/176,666 = 176,666/x
  3. Step 3: Cross multiply
    114,092x = 176,666 × 176,666
  4. Step 4: Simplify right side
    114,092x = 31,210,875,556
  5. Step 5: Solve for x
    x = 31,210,875,556/114,092
  6. Step 6: Final answer
    x = 273,558.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.