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Finding the Third Proportional to 57,541 and 91,598

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Solution

The third proportional to 57,541 and 91,598 is: 145,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,541 : 91,598 = 91,598 : x
  2. Step 2: Convert to fraction form
    57,541/91,598 = 91,598/x
  3. Step 3: Cross multiply
    57,541x = 91,598 × 91,598
  4. Step 4: Simplify right side
    57,541x = 8,390,193,604
  5. Step 5: Solve for x
    x = 8,390,193,604/57,541
  6. Step 6: Final answer
    x = 145,812.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.