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Finding the Third Proportional to 48,735 and 106,400.25

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Solution

The third proportional to 48,735 and 106,400.25 is: 232,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,735 : 106,400.25 = 106,400.25 : x
  2. Step 2: Convert to fraction form
    48,735/106,400.25 = 106,400.25/x
  3. Step 3: Cross multiply
    48,735x = 106,400.25 × 106,400.25
  4. Step 4: Simplify right side
    48,735x = 11,321,013,200.06
  5. Step 5: Solve for x
    x = 11,321,013,200.06/48,735
  6. Step 6: Final answer
    x = 232,297.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.