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Finding the Third Proportional to 99,704.25 and 153,252

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Solution

The third proportional to 99,704.25 and 153,252 is: 235,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,704.25 : 153,252 = 153,252 : x
  2. Step 2: Convert to fraction form
    99,704.25/153,252 = 153,252/x
  3. Step 3: Cross multiply
    99,704.25x = 153,252 × 153,252
  4. Step 4: Simplify right side
    99,704.25x = 23,486,175,504
  5. Step 5: Solve for x
    x = 23,486,175,504/99,704.25
  6. Step 6: Final answer
    x = 235,558.42

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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.