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Finding the Third Proportional to 76,860 and 103,602

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Solution

The third proportional to 76,860 and 103,602 is: 139,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,860 : 103,602 = 103,602 : x
  2. Step 2: Convert to fraction form
    76,860/103,602 = 103,602/x
  3. Step 3: Cross multiply
    76,860x = 103,602 × 103,602
  4. Step 4: Simplify right side
    76,860x = 10,733,374,404
  5. Step 5: Solve for x
    x = 10,733,374,404/76,860
  6. Step 6: Final answer
    x = 139,648.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.