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Finding the Third Proportional to 59,321.25 and 94,257

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Solution

The third proportional to 59,321.25 and 94,257 is: 149,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,321.25 : 94,257 = 94,257 : x
  2. Step 2: Convert to fraction form
    59,321.25/94,257 = 94,257/x
  3. Step 3: Cross multiply
    59,321.25x = 94,257 × 94,257
  4. Step 4: Simplify right side
    59,321.25x = 8,884,382,049
  5. Step 5: Solve for x
    x = 8,884,382,049/59,321.25
  6. Step 6: Final answer
    x = 149,767.28

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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.