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Finding the Third Proportional to 76,254 and 116,364.75

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Solution

The third proportional to 76,254 and 116,364.75 is: 177,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254 : 116,364.75 = 116,364.75 : x
  2. Step 2: Convert to fraction form
    76,254/116,364.75 = 116,364.75/x
  3. Step 3: Cross multiply
    76,254x = 116,364.75 × 116,364.75
  4. Step 4: Simplify right side
    76,254x = 13,540,755,042.56
  5. Step 5: Solve for x
    x = 13,540,755,042.56/76,254
  6. Step 6: Final answer
    x = 177,574.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.