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Finding the Third Proportional to 123,742.69 and 237,643.88

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Solution

The third proportional to 123,742.69 and 237,643.88 is: 456,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,742.69 : 237,643.88 = 237,643.88 : x
  2. Step 2: Convert to fraction form
    123,742.69/237,643.88 = 237,643.88/x
  3. Step 3: Cross multiply
    123,742.69x = 237,643.88 × 237,643.88
  4. Step 4: Simplify right side
    123,742.69x = 56,474,611,325.02
  5. Step 5: Solve for x
    x = 56,474,611,325.02/123,742.69
  6. Step 6: Final answer
    x = 456,387.46

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.