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Finding the Third Proportional to 81,056 and 174,598

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Solution

The third proportional to 81,056 and 174,598 is: 376,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,056 : 174,598 = 174,598 : x
  2. Step 2: Convert to fraction form
    81,056/174,598 = 174,598/x
  3. Step 3: Cross multiply
    81,056x = 174,598 × 174,598
  4. Step 4: Simplify right side
    81,056x = 30,484,461,604
  5. Step 5: Solve for x
    x = 30,484,461,604/81,056
  6. Step 6: Final answer
    x = 376,091.36

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