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Finding the Third Proportional to 96,372 and 153,320

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Solution

The third proportional to 96,372 and 153,320 is: 243,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,372 : 153,320 = 153,320 : x
  2. Step 2: Convert to fraction form
    96,372/153,320 = 153,320/x
  3. Step 3: Cross multiply
    96,372x = 153,320 × 153,320
  4. Step 4: Simplify right side
    96,372x = 23,507,022,400
  5. Step 5: Solve for x
    x = 23,507,022,400/96,372
  6. Step 6: Final answer
    x = 243,919.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.