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Finding the Third Proportional to 62,116 and 134,120

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Solution

The third proportional to 62,116 and 134,120 is: 289,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,116 : 134,120 = 134,120 : x
  2. Step 2: Convert to fraction form
    62,116/134,120 = 134,120/x
  3. Step 3: Cross multiply
    62,116x = 134,120 × 134,120
  4. Step 4: Simplify right side
    62,116x = 17,988,174,400
  5. Step 5: Solve for x
    x = 17,988,174,400/62,116
  6. Step 6: Final answer
    x = 289,590.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.