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Finding the Third Proportional to 77,828.50 and 116,743

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Solution

The third proportional to 77,828.50 and 116,743 is: 175,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828.50 : 116,743 = 116,743 : x
  2. Step 2: Convert to fraction form
    77,828.50/116,743 = 116,743/x
  3. Step 3: Cross multiply
    77,828.50x = 116,743 × 116,743
  4. Step 4: Simplify right side
    77,828.50x = 13,628,928,049
  5. Step 5: Solve for x
    x = 13,628,928,049/77,828.50
  6. Step 6: Final answer
    x = 175,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.