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Finding the Third Proportional to 115,373 and 168,523

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Solution

The third proportional to 115,373 and 168,523 is: 246,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,373 : 168,523 = 168,523 : x
  2. Step 2: Convert to fraction form
    115,373/168,523 = 168,523/x
  3. Step 3: Cross multiply
    115,373x = 168,523 × 168,523
  4. Step 4: Simplify right side
    115,373x = 28,400,001,529
  5. Step 5: Solve for x
    x = 28,400,001,529/115,373
  6. Step 6: Final answer
    x = 246,158.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.