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Finding the Third Proportional to 123,459.19 and 167,685.19

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Solution

The third proportional to 123,459.19 and 167,685.19 is: 227,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,459.19 : 167,685.19 = 167,685.19 : x
  2. Step 2: Convert to fraction form
    123,459.19/167,685.19 = 167,685.19/x
  3. Step 3: Cross multiply
    123,459.19x = 167,685.19 × 167,685.19
  4. Step 4: Simplify right side
    123,459.19x = 28,118,322,106.91
  5. Step 5: Solve for x
    x = 28,118,322,106.91/123,459.19
  6. Step 6: Final answer
    x = 227,753.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.