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Finding the Third Proportional to 100,402 and 161,426

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Solution

The third proportional to 100,402 and 161,426 is: 259,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402 : 161,426 = 161,426 : x
  2. Step 2: Convert to fraction form
    100,402/161,426 = 161,426/x
  3. Step 3: Cross multiply
    100,402x = 161,426 × 161,426
  4. Step 4: Simplify right side
    100,402x = 26,058,353,476
  5. Step 5: Solve for x
    x = 26,058,353,476/100,402
  6. Step 6: Final answer
    x = 259,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.