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Finding the Third Proportional to 123,234.75 and 176,104.13

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Solution

The third proportional to 123,234.75 and 176,104.13 is: 251,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,234.75 : 176,104.13 = 176,104.13 : x
  2. Step 2: Convert to fraction form
    123,234.75/176,104.13 = 176,104.13/x
  3. Step 3: Cross multiply
    123,234.75x = 176,104.13 × 176,104.13
  4. Step 4: Simplify right side
    123,234.75x = 31,012,662,842.02
  5. Step 5: Solve for x
    x = 31,012,662,842.02/123,234.75
  6. Step 6: Final answer
    x = 251,655.18

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.