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Finding the Third Proportional to 136,522 and 213,701

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Solution

The third proportional to 136,522 and 213,701 is: 334,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,522 : 213,701 = 213,701 : x
  2. Step 2: Convert to fraction form
    136,522/213,701 = 213,701/x
  3. Step 3: Cross multiply
    136,522x = 213,701 × 213,701
  4. Step 4: Simplify right side
    136,522x = 45,668,117,401
  5. Step 5: Solve for x
    x = 45,668,117,401/136,522
  6. Step 6: Final answer
    x = 334,511.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.