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Finding the Third Proportional to 115,005 and 176,523

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Solution

The third proportional to 115,005 and 176,523 is: 270,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 176,523 = 176,523 : x
  2. Step 2: Convert to fraction form
    115,005/176,523 = 176,523/x
  3. Step 3: Cross multiply
    115,005x = 176,523 × 176,523
  4. Step 4: Simplify right side
    115,005x = 31,160,369,529
  5. Step 5: Solve for x
    x = 31,160,369,529/115,005
  6. Step 6: Final answer
    x = 270,947.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.