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Finding the Third Proportional to 48,634 and 107,473

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Solution

The third proportional to 48,634 and 107,473 is: 237,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 107,473 = 107,473 : x
  2. Step 2: Convert to fraction form
    48,634/107,473 = 107,473/x
  3. Step 3: Cross multiply
    48,634x = 107,473 × 107,473
  4. Step 4: Simplify right side
    48,634x = 11,550,445,729
  5. Step 5: Solve for x
    x = 11,550,445,729/48,634
  6. Step 6: Final answer
    x = 237,497.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.