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Finding the Third Proportional to 29,120 and 68,453

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Solution

The third proportional to 29,120 and 68,453 is: 160,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 68,453 = 68,453 : x
  2. Step 2: Convert to fraction form
    29,120/68,453 = 68,453/x
  3. Step 3: Cross multiply
    29,120x = 68,453 × 68,453
  4. Step 4: Simplify right side
    29,120x = 4,685,813,209
  5. Step 5: Solve for x
    x = 4,685,813,209/29,120
  6. Step 6: Final answer
    x = 160,913.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.