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Finding the Third Proportional to 152,705 and 166,548

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Solution

The third proportional to 152,705 and 166,548 is: 181,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705 : 166,548 = 166,548 : x
  2. Step 2: Convert to fraction form
    152,705/166,548 = 166,548/x
  3. Step 3: Cross multiply
    152,705x = 166,548 × 166,548
  4. Step 4: Simplify right side
    152,705x = 27,738,236,304
  5. Step 5: Solve for x
    x = 27,738,236,304/152,705
  6. Step 6: Final answer
    x = 181,645.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.