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Finding the Third Proportional to 62,835 and 132,942

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Solution

The third proportional to 62,835 and 132,942 is: 281,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,835 : 132,942 = 132,942 : x
  2. Step 2: Convert to fraction form
    62,835/132,942 = 132,942/x
  3. Step 3: Cross multiply
    62,835x = 132,942 × 132,942
  4. Step 4: Simplify right side
    62,835x = 17,673,575,364
  5. Step 5: Solve for x
    x = 17,673,575,364/62,835
  6. Step 6: Final answer
    x = 281,269.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.