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Finding the Third Proportional to 62,762 and 134,158

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Solution

The third proportional to 62,762 and 134,158 is: 286,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,762 : 134,158 = 134,158 : x
  2. Step 2: Convert to fraction form
    62,762/134,158 = 134,158/x
  3. Step 3: Cross multiply
    62,762x = 134,158 × 134,158
  4. Step 4: Simplify right side
    62,762x = 17,998,368,964
  5. Step 5: Solve for x
    x = 17,998,368,964/62,762
  6. Step 6: Final answer
    x = 286,771.76

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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.