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Finding the Third Proportional to 52,348 and 82,232

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Solution

The third proportional to 52,348 and 82,232 is: 129,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348 : 82,232 = 82,232 : x
  2. Step 2: Convert to fraction form
    52,348/82,232 = 82,232/x
  3. Step 3: Cross multiply
    52,348x = 82,232 × 82,232
  4. Step 4: Simplify right side
    52,348x = 6,762,101,824
  5. Step 5: Solve for x
    x = 6,762,101,824/52,348
  6. Step 6: Final answer
    x = 129,175.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.