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Finding the Third Proportional to 62,820 and 136,737

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Solution

The third proportional to 62,820 and 136,737 is: 297,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,820 : 136,737 = 136,737 : x
  2. Step 2: Convert to fraction form
    62,820/136,737 = 136,737/x
  3. Step 3: Cross multiply
    62,820x = 136,737 × 136,737
  4. Step 4: Simplify right side
    62,820x = 18,697,007,169
  5. Step 5: Solve for x
    x = 18,697,007,169/62,820
  6. Step 6: Final answer
    x = 297,628.26

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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.