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Finding the Third Proportional to 77,828.75 and 116,742.75

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Solution

The third proportional to 77,828.75 and 116,742.75 is: 175,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828.75 : 116,742.75 = 116,742.75 : x
  2. Step 2: Convert to fraction form
    77,828.75/116,742.75 = 116,742.75/x
  3. Step 3: Cross multiply
    77,828.75x = 116,742.75 × 116,742.75
  4. Step 4: Simplify right side
    77,828.75x = 13,628,869,677.56
  5. Step 5: Solve for x
    x = 13,628,869,677.56/77,828.75
  6. Step 6: Final answer
    x = 175,113.56

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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.