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Finding the Third Proportional to 81,283 and 119,569

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Solution

The third proportional to 81,283 and 119,569 is: 175,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,283 : 119,569 = 119,569 : x
  2. Step 2: Convert to fraction form
    81,283/119,569 = 119,569/x
  3. Step 3: Cross multiply
    81,283x = 119,569 × 119,569
  4. Step 4: Simplify right side
    81,283x = 14,296,745,761
  5. Step 5: Solve for x
    x = 14,296,745,761/81,283
  6. Step 6: Final answer
    x = 175,888.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.