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Finding the Third Proportional to 62,835 and 134,539

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Solution

The third proportional to 62,835 and 134,539 is: 288,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,835 : 134,539 = 134,539 : x
  2. Step 2: Convert to fraction form
    62,835/134,539 = 134,539/x
  3. Step 3: Cross multiply
    62,835x = 134,539 × 134,539
  4. Step 4: Simplify right side
    62,835x = 18,100,742,521
  5. Step 5: Solve for x
    x = 18,100,742,521/62,835
  6. Step 6: Final answer
    x = 288,067.84

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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.