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Finding the Third Proportional to 57,604 and 82,373

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Solution

The third proportional to 57,604 and 82,373 is: 117,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,604 : 82,373 = 82,373 : x
  2. Step 2: Convert to fraction form
    57,604/82,373 = 82,373/x
  3. Step 3: Cross multiply
    57,604x = 82,373 × 82,373
  4. Step 4: Simplify right side
    57,604x = 6,785,311,129
  5. Step 5: Solve for x
    x = 6,785,311,129/57,604
  6. Step 6: Final answer
    x = 117,792.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.