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Finding the Third Proportional to 57,547 and 88,325

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Solution

The third proportional to 57,547 and 88,325 is: 135,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,547 : 88,325 = 88,325 : x
  2. Step 2: Convert to fraction form
    57,547/88,325 = 88,325/x
  3. Step 3: Cross multiply
    57,547x = 88,325 × 88,325
  4. Step 4: Simplify right side
    57,547x = 7,801,305,625
  5. Step 5: Solve for x
    x = 7,801,305,625/57,547
  6. Step 6: Final answer
    x = 135,564.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.