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Finding the Third Proportional to 62,320 and 136,062

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Solution

The third proportional to 62,320 and 136,062 is: 297,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,320 : 136,062 = 136,062 : x
  2. Step 2: Convert to fraction form
    62,320/136,062 = 136,062/x
  3. Step 3: Cross multiply
    62,320x = 136,062 × 136,062
  4. Step 4: Simplify right side
    62,320x = 18,512,867,844
  5. Step 5: Solve for x
    x = 18,512,867,844/62,320
  6. Step 6: Final answer
    x = 297,061.42

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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.