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Finding the Third Proportional to 152,915 and 164,579

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Solution

The third proportional to 152,915 and 164,579 is: 177,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915 : 164,579 = 164,579 : x
  2. Step 2: Convert to fraction form
    152,915/164,579 = 164,579/x
  3. Step 3: Cross multiply
    152,915x = 164,579 × 164,579
  4. Step 4: Simplify right side
    152,915x = 27,086,247,241
  5. Step 5: Solve for x
    x = 27,086,247,241/152,915
  6. Step 6: Final answer
    x = 177,132.70

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.