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Finding the Third Proportional to 81,651 and 174,534

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Solution

The third proportional to 81,651 and 174,534 is: 373,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651 : 174,534 = 174,534 : x
  2. Step 2: Convert to fraction form
    81,651/174,534 = 174,534/x
  3. Step 3: Cross multiply
    81,651x = 174,534 × 174,534
  4. Step 4: Simplify right side
    81,651x = 30,462,117,156
  5. Step 5: Solve for x
    x = 30,462,117,156/81,651
  6. Step 6: Final answer
    x = 373,077.09

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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.