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Finding the Third Proportional to 124,954 and 178,082

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Solution

The third proportional to 124,954 and 178,082 is: 253,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,954 : 178,082 = 178,082 : x
  2. Step 2: Convert to fraction form
    124,954/178,082 = 178,082/x
  3. Step 3: Cross multiply
    124,954x = 178,082 × 178,082
  4. Step 4: Simplify right side
    124,954x = 31,713,198,724
  5. Step 5: Solve for x
    x = 31,713,198,724/124,954
  6. Step 6: Final answer
    x = 253,798.99

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Why These Related Problems?

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