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Finding the Third Proportional to 48,565 and 104,786

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Solution

The third proportional to 48,565 and 104,786 is: 226,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,565 : 104,786 = 104,786 : x
  2. Step 2: Convert to fraction form
    48,565/104,786 = 104,786/x
  3. Step 3: Cross multiply
    48,565x = 104,786 × 104,786
  4. Step 4: Simplify right side
    48,565x = 10,980,105,796
  5. Step 5: Solve for x
    x = 10,980,105,796/48,565
  6. Step 6: Final answer
    x = 226,090.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.