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Finding the Third Proportional to 82,824 and 129,156

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Solution

The third proportional to 82,824 and 129,156 is: 201,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,824 : 129,156 = 129,156 : x
  2. Step 2: Convert to fraction form
    82,824/129,156 = 129,156/x
  3. Step 3: Cross multiply
    82,824x = 129,156 × 129,156
  4. Step 4: Simplify right side
    82,824x = 16,681,272,336
  5. Step 5: Solve for x
    x = 16,681,272,336/82,824
  6. Step 6: Final answer
    x = 201,406.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.