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Finding the Third Proportional to 81,057 and 174,598.50

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Solution

The third proportional to 81,057 and 174,598.50 is: 376,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057 : 174,598.50 = 174,598.50 : x
  2. Step 2: Convert to fraction form
    81,057/174,598.50 = 174,598.50/x
  3. Step 3: Cross multiply
    81,057x = 174,598.50 × 174,598.50
  4. Step 4: Simplify right side
    81,057x = 30,484,636,202.25
  5. Step 5: Solve for x
    x = 30,484,636,202.25/81,057
  6. Step 6: Final answer
    x = 376,088.88

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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.