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Finding the Third Proportional to 66,846 and 142,362

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Solution

The third proportional to 66,846 and 142,362 is: 303,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,846 : 142,362 = 142,362 : x
  2. Step 2: Convert to fraction form
    66,846/142,362 = 142,362/x
  3. Step 3: Cross multiply
    66,846x = 142,362 × 142,362
  4. Step 4: Simplify right side
    66,846x = 20,266,939,044
  5. Step 5: Solve for x
    x = 20,266,939,044/66,846
  6. Step 6: Final answer
    x = 303,188.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.