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Finding the Third Proportional to 67,065 and 144,669

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Solution

The third proportional to 67,065 and 144,669 is: 312,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,065 : 144,669 = 144,669 : x
  2. Step 2: Convert to fraction form
    67,065/144,669 = 144,669/x
  3. Step 3: Cross multiply
    67,065x = 144,669 × 144,669
  4. Step 4: Simplify right side
    67,065x = 20,929,119,561
  5. Step 5: Solve for x
    x = 20,929,119,561/67,065
  6. Step 6: Final answer
    x = 312,072.16

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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.