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Finding the Third Proportional to 58,476.25 and 126,286

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Solution

The third proportional to 58,476.25 and 126,286 is: 272,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476.25 : 126,286 = 126,286 : x
  2. Step 2: Convert to fraction form
    58,476.25/126,286 = 126,286/x
  3. Step 3: Cross multiply
    58,476.25x = 126,286 × 126,286
  4. Step 4: Simplify right side
    58,476.25x = 15,948,153,796
  5. Step 5: Solve for x
    x = 15,948,153,796/58,476.25
  6. Step 6: Final answer
    x = 272,728.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.