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Finding the Third Proportional to 77,952 and 170,832

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Solution

The third proportional to 77,952 and 170,832 is: 374,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952 : 170,832 = 170,832 : x
  2. Step 2: Convert to fraction form
    77,952/170,832 = 170,832/x
  3. Step 3: Cross multiply
    77,952x = 170,832 × 170,832
  4. Step 4: Simplify right side
    77,952x = 29,183,572,224
  5. Step 5: Solve for x
    x = 29,183,572,224/77,952
  6. Step 6: Final answer
    x = 374,378.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.