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Finding the Third Proportional to 67,262 and 144,184

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Solution

The third proportional to 67,262 and 144,184 is: 309,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,262 : 144,184 = 144,184 : x
  2. Step 2: Convert to fraction form
    67,262/144,184 = 144,184/x
  3. Step 3: Cross multiply
    67,262x = 144,184 × 144,184
  4. Step 4: Simplify right side
    67,262x = 20,789,025,856
  5. Step 5: Solve for x
    x = 20,789,025,856/67,262
  6. Step 6: Final answer
    x = 309,075.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.