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Finding the Third Proportional to 114,437 and 177,047

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Solution

The third proportional to 114,437 and 177,047 is: 273,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,437 : 177,047 = 177,047 : x
  2. Step 2: Convert to fraction form
    114,437/177,047 = 177,047/x
  3. Step 3: Cross multiply
    114,437x = 177,047 × 177,047
  4. Step 4: Simplify right side
    114,437x = 31,345,640,209
  5. Step 5: Solve for x
    x = 31,345,640,209/114,437
  6. Step 6: Final answer
    x = 273,911.76

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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.