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Finding the Third Proportional to 116,672 and 172,548

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Solution

The third proportional to 116,672 and 172,548 is: 255,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,672 : 172,548 = 172,548 : x
  2. Step 2: Convert to fraction form
    116,672/172,548 = 172,548/x
  3. Step 3: Cross multiply
    116,672x = 172,548 × 172,548
  4. Step 4: Simplify right side
    116,672x = 29,772,812,304
  5. Step 5: Solve for x
    x = 29,772,812,304/116,672
  6. Step 6: Final answer
    x = 255,183.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.