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Finding the Third Proportional to 89,302.50 and 121,282.75

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Solution

The third proportional to 89,302.50 and 121,282.75 is: 164,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,302.50 : 121,282.75 = 121,282.75 : x
  2. Step 2: Convert to fraction form
    89,302.50/121,282.75 = 121,282.75/x
  3. Step 3: Cross multiply
    89,302.50x = 121,282.75 × 121,282.75
  4. Step 4: Simplify right side
    89,302.50x = 14,709,505,447.56
  5. Step 5: Solve for x
    x = 14,709,505,447.56/89,302.50
  6. Step 6: Final answer
    x = 164,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.