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Finding the Third Proportional to 62,008 and 92,835

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Solution

The third proportional to 62,008 and 92,835 is: 138,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,008 : 92,835 = 92,835 : x
  2. Step 2: Convert to fraction form
    62,008/92,835 = 92,835/x
  3. Step 3: Cross multiply
    62,008x = 92,835 × 92,835
  4. Step 4: Simplify right side
    62,008x = 8,618,337,225
  5. Step 5: Solve for x
    x = 8,618,337,225/62,008
  6. Step 6: Final answer
    x = 138,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.