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Finding the Third Proportional to 82,066 and 125,507

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Solution

The third proportional to 82,066 and 125,507 is: 191,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,066 : 125,507 = 125,507 : x
  2. Step 2: Convert to fraction form
    82,066/125,507 = 125,507/x
  3. Step 3: Cross multiply
    82,066x = 125,507 × 125,507
  4. Step 4: Simplify right side
    82,066x = 15,752,007,049
  5. Step 5: Solve for x
    x = 15,752,007,049/82,066
  6. Step 6: Final answer
    x = 191,943.16

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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.