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Finding the Third Proportional to 99,300 and 153,378

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Solution

The third proportional to 99,300 and 153,378 is: 236,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,300 : 153,378 = 153,378 : x
  2. Step 2: Convert to fraction form
    99,300/153,378 = 153,378/x
  3. Step 3: Cross multiply
    99,300x = 153,378 × 153,378
  4. Step 4: Simplify right side
    99,300x = 23,524,810,884
  5. Step 5: Solve for x
    x = 23,524,810,884/99,300
  6. Step 6: Final answer
    x = 236,906.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.