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Finding the Third Proportional to 100,823.25 and 154,759.50

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Solution

The third proportional to 100,823.25 and 154,759.50 is: 237,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.25 : 154,759.50 = 154,759.50 : x
  2. Step 2: Convert to fraction form
    100,823.25/154,759.50 = 154,759.50/x
  3. Step 3: Cross multiply
    100,823.25x = 154,759.50 × 154,759.50
  4. Step 4: Simplify right side
    100,823.25x = 23,950,502,840.25
  5. Step 5: Solve for x
    x = 23,950,502,840.25/100,823.25
  6. Step 6: Final answer
    x = 237,549.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.