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Finding the Third Proportional to 66,503 and 143,557

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Solution

The third proportional to 66,503 and 143,557 is: 309,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503 : 143,557 = 143,557 : x
  2. Step 2: Convert to fraction form
    66,503/143,557 = 143,557/x
  3. Step 3: Cross multiply
    66,503x = 143,557 × 143,557
  4. Step 4: Simplify right side
    66,503x = 20,608,612,249
  5. Step 5: Solve for x
    x = 20,608,612,249/66,503
  6. Step 6: Final answer
    x = 309,889.96

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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.