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Finding the Third Proportional to 66,210 and 144,048

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Solution

The third proportional to 66,210 and 144,048 is: 313,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,210 : 144,048 = 144,048 : x
  2. Step 2: Convert to fraction form
    66,210/144,048 = 144,048/x
  3. Step 3: Cross multiply
    66,210x = 144,048 × 144,048
  4. Step 4: Simplify right side
    66,210x = 20,749,826,304
  5. Step 5: Solve for x
    x = 20,749,826,304/66,210
  6. Step 6: Final answer
    x = 313,394.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.