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Finding the Third Proportional to 75,261 and 162,402

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Solution

The third proportional to 75,261 and 162,402 is: 350,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261 : 162,402 = 162,402 : x
  2. Step 2: Convert to fraction form
    75,261/162,402 = 162,402/x
  3. Step 3: Cross multiply
    75,261x = 162,402 × 162,402
  4. Step 4: Simplify right side
    75,261x = 26,374,409,604
  5. Step 5: Solve for x
    x = 26,374,409,604/75,261
  6. Step 6: Final answer
    x = 350,439.27

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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.