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Finding the Third Proportional to 123,297.75 and 181,057.50

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Solution

The third proportional to 123,297.75 and 181,057.50 is: 265,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,297.75 : 181,057.50 = 181,057.50 : x
  2. Step 2: Convert to fraction form
    123,297.75/181,057.50 = 181,057.50/x
  3. Step 3: Cross multiply
    123,297.75x = 181,057.50 × 181,057.50
  4. Step 4: Simplify right side
    123,297.75x = 32,781,818,306.25
  5. Step 5: Solve for x
    x = 32,781,818,306.25/123,297.75
  6. Step 6: Final answer
    x = 265,875.24

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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.