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Finding the Third Proportional to 114,735 and 252,159

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Solution

The third proportional to 114,735 and 252,159 is: 554,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,735 : 252,159 = 252,159 : x
  2. Step 2: Convert to fraction form
    114,735/252,159 = 252,159/x
  3. Step 3: Cross multiply
    114,735x = 252,159 × 252,159
  4. Step 4: Simplify right side
    114,735x = 63,584,161,281
  5. Step 5: Solve for x
    x = 63,584,161,281/114,735
  6. Step 6: Final answer
    x = 554,182.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.