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Finding the Third Proportional to 114,429.38 and 177,035.63

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Solution

The third proportional to 114,429.38 and 177,035.63 is: 273,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429.38 : 177,035.63 = 177,035.63 : x
  2. Step 2: Convert to fraction form
    114,429.38/177,035.63 = 177,035.63/x
  3. Step 3: Cross multiply
    114,429.38x = 177,035.63 × 177,035.63
  4. Step 4: Simplify right side
    114,429.38x = 31,341,612,519.14
  5. Step 5: Solve for x
    x = 31,341,612,519.14/114,429.38
  6. Step 6: Final answer
    x = 273,894.82

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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.