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Finding the Third Proportional to 66,012 and 144,337

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Solution

The third proportional to 66,012 and 144,337 is: 315,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,012 : 144,337 = 144,337 : x
  2. Step 2: Convert to fraction form
    66,012/144,337 = 144,337/x
  3. Step 3: Cross multiply
    66,012x = 144,337 × 144,337
  4. Step 4: Simplify right side
    66,012x = 20,833,169,569
  5. Step 5: Solve for x
    x = 20,833,169,569/66,012
  6. Step 6: Final answer
    x = 315,596.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.