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Finding the Third Proportional to 72,453 and 146,871

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Solution

The third proportional to 72,453 and 146,871 is: 297,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,453 : 146,871 = 146,871 : x
  2. Step 2: Convert to fraction form
    72,453/146,871 = 146,871/x
  3. Step 3: Cross multiply
    72,453x = 146,871 × 146,871
  4. Step 4: Simplify right side
    72,453x = 21,571,090,641
  5. Step 5: Solve for x
    x = 21,571,090,641/72,453
  6. Step 6: Final answer
    x = 297,725.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.