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Finding the Third Proportional to 133,778 and 162,492

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Solution

The third proportional to 133,778 and 162,492 is: 197,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778 : 162,492 = 162,492 : x
  2. Step 2: Convert to fraction form
    133,778/162,492 = 162,492/x
  3. Step 3: Cross multiply
    133,778x = 162,492 × 162,492
  4. Step 4: Simplify right side
    133,778x = 26,403,650,064
  5. Step 5: Solve for x
    x = 26,403,650,064/133,778
  6. Step 6: Final answer
    x = 197,369.15

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.