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Finding the Third Proportional to 81,126 and 173,457

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Solution

The third proportional to 81,126 and 173,457 is: 370,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,126 : 173,457 = 173,457 : x
  2. Step 2: Convert to fraction form
    81,126/173,457 = 173,457/x
  3. Step 3: Cross multiply
    81,126x = 173,457 × 173,457
  4. Step 4: Simplify right side
    81,126x = 30,087,330,849
  5. Step 5: Solve for x
    x = 30,087,330,849/81,126
  6. Step 6: Final answer
    x = 370,871.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.