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Finding the Third Proportional to 54,334.76 and 116,703.70

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Solution

The third proportional to 54,334.76 and 116,703.70 is: 250,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334.76 : 116,703.70 = 116,703.70 : x
  2. Step 2: Convert to fraction form
    54,334.76/116,703.70 = 116,703.70/x
  3. Step 3: Cross multiply
    54,334.76x = 116,703.70 × 116,703.70
  4. Step 4: Simplify right side
    54,334.76x = 13,619,754,323.09
  5. Step 5: Solve for x
    x = 13,619,754,323.09/54,334.76
  6. Step 6: Final answer
    x = 250,663.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.