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Finding the Third Proportional to 48,538 and 99,428

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Solution

The third proportional to 48,538 and 99,428 is: 203,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538 : 99,428 = 99,428 : x
  2. Step 2: Convert to fraction form
    48,538/99,428 = 99,428/x
  3. Step 3: Cross multiply
    48,538x = 99,428 × 99,428
  4. Step 4: Simplify right side
    48,538x = 9,885,927,184
  5. Step 5: Solve for x
    x = 9,885,927,184/48,538
  6. Step 6: Final answer
    x = 203,673.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.