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Finding the Third Proportional to 48,125 and 99,298

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Solution

The third proportional to 48,125 and 99,298 is: 204,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125 : 99,298 = 99,298 : x
  2. Step 2: Convert to fraction form
    48,125/99,298 = 99,298/x
  3. Step 3: Cross multiply
    48,125x = 99,298 × 99,298
  4. Step 4: Simplify right side
    48,125x = 9,860,092,804
  5. Step 5: Solve for x
    x = 9,860,092,804/48,125
  6. Step 6: Final answer
    x = 204,885.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.