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Finding the Third Proportional to 82,137 and 176,541

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Solution

The third proportional to 82,137 and 176,541 is: 379,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,137 : 176,541 = 176,541 : x
  2. Step 2: Convert to fraction form
    82,137/176,541 = 176,541/x
  3. Step 3: Cross multiply
    82,137x = 176,541 × 176,541
  4. Step 4: Simplify right side
    82,137x = 31,166,724,681
  5. Step 5: Solve for x
    x = 31,166,724,681/82,137
  6. Step 6: Final answer
    x = 379,448.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.