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Finding the Third Proportional to 62,815 and 136,703.50

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Solution

The third proportional to 62,815 and 136,703.50 is: 297,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,815 : 136,703.50 = 136,703.50 : x
  2. Step 2: Convert to fraction form
    62,815/136,703.50 = 136,703.50/x
  3. Step 3: Cross multiply
    62,815x = 136,703.50 × 136,703.50
  4. Step 4: Simplify right side
    62,815x = 18,687,846,912.25
  5. Step 5: Solve for x
    x = 18,687,846,912.25/62,815
  6. Step 6: Final answer
    x = 297,506.12

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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.