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Finding the Third Proportional to 66,232 and 141,934

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Solution

The third proportional to 66,232 and 141,934 is: 304,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,232 : 141,934 = 141,934 : x
  2. Step 2: Convert to fraction form
    66,232/141,934 = 141,934/x
  3. Step 3: Cross multiply
    66,232x = 141,934 × 141,934
  4. Step 4: Simplify right side
    66,232x = 20,145,260,356
  5. Step 5: Solve for x
    x = 20,145,260,356/66,232
  6. Step 6: Final answer
    x = 304,162.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.