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Finding the Third Proportional to 48,624 and 105,602

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Solution

The third proportional to 48,624 and 105,602 is: 229,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,624 : 105,602 = 105,602 : x
  2. Step 2: Convert to fraction form
    48,624/105,602 = 105,602/x
  3. Step 3: Cross multiply
    48,624x = 105,602 × 105,602
  4. Step 4: Simplify right side
    48,624x = 11,151,782,404
  5. Step 5: Solve for x
    x = 11,151,782,404/48,624
  6. Step 6: Final answer
    x = 229,347.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.