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Finding the Third Proportional to 123,160.50 and 187,053.89

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Solution

The third proportional to 123,160.50 and 187,053.89 is: 284,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,160.50 : 187,053.89 = 187,053.89 : x
  2. Step 2: Convert to fraction form
    123,160.50/187,053.89 = 187,053.89/x
  3. Step 3: Cross multiply
    123,160.50x = 187,053.89 × 187,053.89
  4. Step 4: Simplify right side
    123,160.50x = 34,989,157,997.95
  5. Step 5: Solve for x
    x = 34,989,157,997.95/123,160.50
  6. Step 6: Final answer
    x = 284,093.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.