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Finding the Third Proportional to 66,467 and 144,598

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Solution

The third proportional to 66,467 and 144,598 is: 314,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467 : 144,598 = 144,598 : x
  2. Step 2: Convert to fraction form
    66,467/144,598 = 144,598/x
  3. Step 3: Cross multiply
    66,467x = 144,598 × 144,598
  4. Step 4: Simplify right side
    66,467x = 20,908,581,604
  5. Step 5: Solve for x
    x = 20,908,581,604/66,467
  6. Step 6: Final answer
    x = 314,570.86

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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.