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Finding the Third Proportional to 48,550 and 105,646

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Solution

The third proportional to 48,550 and 105,646 is: 229,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,550 : 105,646 = 105,646 : x
  2. Step 2: Convert to fraction form
    48,550/105,646 = 105,646/x
  3. Step 3: Cross multiply
    48,550x = 105,646 × 105,646
  4. Step 4: Simplify right side
    48,550x = 11,161,077,316
  5. Step 5: Solve for x
    x = 11,161,077,316/48,550
  6. Step 6: Final answer
    x = 229,888.31

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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.