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Finding the Third Proportional to 48,724 and 105,770

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Solution

The third proportional to 48,724 and 105,770 is: 229,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724 : 105,770 = 105,770 : x
  2. Step 2: Convert to fraction form
    48,724/105,770 = 105,770/x
  3. Step 3: Cross multiply
    48,724x = 105,770 × 105,770
  4. Step 4: Simplify right side
    48,724x = 11,187,292,900
  5. Step 5: Solve for x
    x = 11,187,292,900/48,724
  6. Step 6: Final answer
    x = 229,605.39

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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.