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Finding the Third Proportional to 123,025 and 183,895

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Solution

The third proportional to 123,025 and 183,895 is: 274,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,025 : 183,895 = 183,895 : x
  2. Step 2: Convert to fraction form
    123,025/183,895 = 183,895/x
  3. Step 3: Cross multiply
    123,025x = 183,895 × 183,895
  4. Step 4: Simplify right side
    123,025x = 33,817,371,025
  5. Step 5: Solve for x
    x = 33,817,371,025/123,025
  6. Step 6: Final answer
    x = 274,882.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.