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Finding the Third Proportional to 48,458 and 104,554

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Solution

The third proportional to 48,458 and 104,554 is: 225,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,458 : 104,554 = 104,554 : x
  2. Step 2: Convert to fraction form
    48,458/104,554 = 104,554/x
  3. Step 3: Cross multiply
    48,458x = 104,554 × 104,554
  4. Step 4: Simplify right side
    48,458x = 10,931,538,916
  5. Step 5: Solve for x
    x = 10,931,538,916/48,458
  6. Step 6: Final answer
    x = 225,587.91

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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.