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Finding the Third Proportional to 62,116 and 135,518

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Solution

The third proportional to 62,116 and 135,518 is: 295,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,116 : 135,518 = 135,518 : x
  2. Step 2: Convert to fraction form
    62,116/135,518 = 135,518/x
  3. Step 3: Cross multiply
    62,116x = 135,518 × 135,518
  4. Step 4: Simplify right side
    62,116x = 18,365,128,324
  5. Step 5: Solve for x
    x = 18,365,128,324/62,116
  6. Step 6: Final answer
    x = 295,658.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.