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Finding the Third Proportional to 45,623 and 97,827

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Solution

The third proportional to 45,623 and 97,827 is: 209,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,623 : 97,827 = 97,827 : x
  2. Step 2: Convert to fraction form
    45,623/97,827 = 97,827/x
  3. Step 3: Cross multiply
    45,623x = 97,827 × 97,827
  4. Step 4: Simplify right side
    45,623x = 9,570,121,929
  5. Step 5: Solve for x
    x = 9,570,121,929/45,623
  6. Step 6: Final answer
    x = 209,765.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.