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Finding the Third Proportional to 48,479 and 101,373

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Solution

The third proportional to 48,479 and 101,373 is: 211,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,479 : 101,373 = 101,373 : x
  2. Step 2: Convert to fraction form
    48,479/101,373 = 101,373/x
  3. Step 3: Cross multiply
    48,479x = 101,373 × 101,373
  4. Step 4: Simplify right side
    48,479x = 10,276,485,129
  5. Step 5: Solve for x
    x = 10,276,485,129/48,479
  6. Step 6: Final answer
    x = 211,978.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.