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Finding the Third Proportional to 62,541 and 137,235

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Solution

The third proportional to 62,541 and 137,235 is: 301,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,541 : 137,235 = 137,235 : x
  2. Step 2: Convert to fraction form
    62,541/137,235 = 137,235/x
  3. Step 3: Cross multiply
    62,541x = 137,235 × 137,235
  4. Step 4: Simplify right side
    62,541x = 18,833,445,225
  5. Step 5: Solve for x
    x = 18,833,445,225/62,541
  6. Step 6: Final answer
    x = 301,137.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.