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Finding the Third Proportional to 116,376 and 176,724

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Solution

The third proportional to 116,376 and 176,724 is: 268,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,376 : 176,724 = 176,724 : x
  2. Step 2: Convert to fraction form
    116,376/176,724 = 176,724/x
  3. Step 3: Cross multiply
    116,376x = 176,724 × 176,724
  4. Step 4: Simplify right side
    116,376x = 31,231,372,176
  5. Step 5: Solve for x
    x = 31,231,372,176/116,376
  6. Step 6: Final answer
    x = 268,366.09

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Why These Related Problems?

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