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Finding the Third Proportional to 73,584 and 113,244.75

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Solution

The third proportional to 73,584 and 113,244.75 is: 174,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 113,244.75 = 113,244.75 : x
  2. Step 2: Convert to fraction form
    73,584/113,244.75 = 113,244.75/x
  3. Step 3: Cross multiply
    73,584x = 113,244.75 × 113,244.75
  4. Step 4: Simplify right side
    73,584x = 12,824,373,402.56
  5. Step 5: Solve for x
    x = 12,824,373,402.56/73,584
  6. Step 6: Final answer
    x = 174,282.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.