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Finding the Third Proportional to 52,692 and 80,357

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Solution

The third proportional to 52,692 and 80,357 is: 122,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692 : 80,357 = 80,357 : x
  2. Step 2: Convert to fraction form
    52,692/80,357 = 80,357/x
  3. Step 3: Cross multiply
    52,692x = 80,357 × 80,357
  4. Step 4: Simplify right side
    52,692x = 6,457,247,449
  5. Step 5: Solve for x
    x = 6,457,247,449/52,692
  6. Step 6: Final answer
    x = 122,547.02

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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.