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Finding the Third Proportional to 48,426 and 106,438

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Solution

The third proportional to 48,426 and 106,438 is: 233,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,426 : 106,438 = 106,438 : x
  2. Step 2: Convert to fraction form
    48,426/106,438 = 106,438/x
  3. Step 3: Cross multiply
    48,426x = 106,438 × 106,438
  4. Step 4: Simplify right side
    48,426x = 11,329,047,844
  5. Step 5: Solve for x
    x = 11,329,047,844/48,426
  6. Step 6: Final answer
    x = 233,945.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.