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Finding the Third Proportional to 62,120 and 134,076

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Solution

The third proportional to 62,120 and 134,076 is: 289,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,120 : 134,076 = 134,076 : x
  2. Step 2: Convert to fraction form
    62,120/134,076 = 134,076/x
  3. Step 3: Cross multiply
    62,120x = 134,076 × 134,076
  4. Step 4: Simplify right side
    62,120x = 17,976,373,776
  5. Step 5: Solve for x
    x = 17,976,373,776/62,120
  6. Step 6: Final answer
    x = 289,381.42

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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.