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Finding the Third Proportional to 98,682.75 and 135,715.50

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Solution

The third proportional to 98,682.75 and 135,715.50 is: 186,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,682.75 : 135,715.50 = 135,715.50 : x
  2. Step 2: Convert to fraction form
    98,682.75/135,715.50 = 135,715.50/x
  3. Step 3: Cross multiply
    98,682.75x = 135,715.50 × 135,715.50
  4. Step 4: Simplify right side
    98,682.75x = 18,418,696,940.25
  5. Step 5: Solve for x
    x = 18,418,696,940.25/98,682.75
  6. Step 6: Final answer
    x = 186,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.