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Finding the Third Proportional to 48,553 and 105,890

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Solution

The third proportional to 48,553 and 105,890 is: 230,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,553 : 105,890 = 105,890 : x
  2. Step 2: Convert to fraction form
    48,553/105,890 = 105,890/x
  3. Step 3: Cross multiply
    48,553x = 105,890 × 105,890
  4. Step 4: Simplify right side
    48,553x = 11,212,692,100
  5. Step 5: Solve for x
    x = 11,212,692,100/48,553
  6. Step 6: Final answer
    x = 230,937.16

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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.