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Finding the Third Proportional to 78,534 and 161,226

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Solution

The third proportional to 78,534 and 161,226 is: 330,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,534 : 161,226 = 161,226 : x
  2. Step 2: Convert to fraction form
    78,534/161,226 = 161,226/x
  3. Step 3: Cross multiply
    78,534x = 161,226 × 161,226
  4. Step 4: Simplify right side
    78,534x = 25,993,823,076
  5. Step 5: Solve for x
    x = 25,993,823,076/78,534
  6. Step 6: Final answer
    x = 330,988.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.