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Finding the Third Proportional to 48,710 and 106,546

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Solution

The third proportional to 48,710 and 106,546 is: 233,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,710 : 106,546 = 106,546 : x
  2. Step 2: Convert to fraction form
    48,710/106,546 = 106,546/x
  3. Step 3: Cross multiply
    48,710x = 106,546 × 106,546
  4. Step 4: Simplify right side
    48,710x = 11,352,050,116
  5. Step 5: Solve for x
    x = 11,352,050,116/48,710
  6. Step 6: Final answer
    x = 233,053.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.