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Finding the Third Proportional to 57,476 and 88,323

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Solution

The third proportional to 57,476 and 88,323 is: 135,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,476 : 88,323 = 88,323 : x
  2. Step 2: Convert to fraction form
    57,476/88,323 = 88,323/x
  3. Step 3: Cross multiply
    57,476x = 88,323 × 88,323
  4. Step 4: Simplify right side
    57,476x = 7,800,952,329
  5. Step 5: Solve for x
    x = 7,800,952,329/57,476
  6. Step 6: Final answer
    x = 135,725.39

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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.